Indagationes Mathematicae (Proceedings)最新文献

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Hahn-Banach for Riesz homomorphisms Riesz同态的Hahn-Banach
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80014-9
G.J.H.M. Buskes , A.C.M. van Rooij
{"title":"Hahn-Banach for Riesz homomorphisms","authors":"G.J.H.M. Buskes , A.C.M. van Rooij","doi":"10.1016/S1385-7258(89)80014-9","DOIUrl":"10.1016/S1385-7258(89)80014-9","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 25-34"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80014-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"104196908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
On some q-operators with applications 关于一些q-算子的应用
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80011-3
N.A. Al-Salam
{"title":"On some q-operators with applications","authors":"N.A. Al-Salam","doi":"10.1016/S1385-7258(89)80011-3","DOIUrl":"10.1016/S1385-7258(89)80011-3","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 1-13"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80011-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"96851598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials 扭曲SU(2)量子群的表示和一些q-超几何正交多项式
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80020-4
T.H. Koornwinder
{"title":"Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials","authors":"T.H. Koornwinder","doi":"10.1016/S1385-7258(89)80020-4","DOIUrl":"10.1016/S1385-7258(89)80020-4","url":null,"abstract":"<div><p>The matrix elements of the irreducible unitary representations of the twisted <em>SU</em>(2) quantum group are computed explicitly. It is shown that they can be identified with two different classes of <em>p</em>-hypergeometric orthogonal polynomials: with the little <em>q</em>-Jacobi polynomials and with certain <em>q</em>-analogues of Krawtchouk polynomials. The orthogonality relations for these polynomials correspond to Schur type orthogonality relations in the first case and to the unitarity conditions for the representations in the second case. The paper also contains a new proof of Woronowicz' classification of the unitary irreducible representations of this quantum group. It avoids infinitesimal methods. Symmetries of the matrix elements of the irreducible unitary representations are proved without using the explicit expressions.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 97-117"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80020-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56486212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 109
On the non-rationality of the Fano variety of ℙ5, which contains three planes two by two meeting in one point 关于包含在一点上的三个2乘2的平面的法诺变换的不合理性
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80012-5
Elisabetta Ambrogio , Daniela Romagnoli
{"title":"On the non-rationality of the Fano variety of ℙ5, which contains three planes two by two meeting in one point","authors":"Elisabetta Ambrogio ,&nbsp;Daniela Romagnoli","doi":"10.1016/S1385-7258(89)80012-5","DOIUrl":"10.1016/S1385-7258(89)80012-5","url":null,"abstract":"<div><p>We prove that the Fano variety <em>W</em> of degree 6 in ℙ<sup>5</sup>, complete intersection of a smooth quadric hypersurface with a smooth cubic hypersurface of ℙ<sup>5</sup>, is not rational if it contains 3 planes two by two meeting at least in one point.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 15-19"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80012-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"97010689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A characterization of Riesz spaces which are Riesz isomorphic to C(X) for some completely regular space X 对于某完全正则空间X,与C(X) Riesz同构的Riesz空间的刻划
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80019-8
Hong-Yun Xiong
{"title":"A characterization of Riesz spaces which are Riesz isomorphic to C(X) for some completely regular space X","authors":"Hong-Yun Xiong","doi":"10.1016/S1385-7258(89)80019-8","DOIUrl":"10.1016/S1385-7258(89)80019-8","url":null,"abstract":"<div><p>Let <em>E</em> be an Archimedean Riesz space possessing a weak unit <em>e</em> and let <em>Ω</em> be the collection of all Riesz homomorphisms <em>ø</em> from <em>E</em> onto ℝ such that <em>ø</em>(<em>e</em>)=1. The Gelfand mapping <em>G</em> :<em>x</em>→<em>x</em>^ on <em>E</em> is defined by <em>x</em>^(<em>ø</em>) = <em>ø</em>(<em>x</em>) for all <em>ø</em>∈Ω. We endow Ω with the topology induced by <em>E</em> (i.e., the weakest topology such that each <em>x</em>^ is continuous on <em>Ω</em>). The principal ideal in <em>E</em> generated by <em>e</em> is denoted by <em>I<sub>d</sub></em>(<em>e</em>). The main theorem in this paper says that the following statements (A) and (B) are equivalent.</p><ul><li><span>(A)</span><span><p>There exists a completely regular space <em>X</em> such that <em>E</em> is Riesz isomorphic to the space <em>C</em>(<em>X</em>) of all real continuous functions on <em>X</em>.</p></span></li><li><span>(B)</span><span><p>The following conditions for the Riesz space <em>E</em> hold: (1) <em>E</em> is Archimedean and has a weak unit <em>e</em>; (2) <em>Ω</em> separates the points of <em>E</em>; (3) <em>E</em> is uniformly complete; (4) <em>G</em>(<em>I<sub>d</sub></em>(<em>e</em>)) is norm dense in the space <em>C<sub>b</sub></em>(<em>Ω</em>) of all real bounded continuous functions on <em>Ω</em>; (5) <em>E</em> is 2-universally complete with carrier space <em>Ω</em>.</p></span></li></ul><p>Some other conditions are mentioned and an example is given to show that condition (5) is necessary for (B) ⇒(A).</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 87-95"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80019-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"108379557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Polynomial congruences over incomplete residue systems, modulo k 不完全剩余系统上的多项式同余,模k
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80016-2
J.H.H. Chalk
{"title":"Polynomial congruences over incomplete residue systems, modulo k","authors":"J.H.H. Chalk","doi":"10.1016/S1385-7258(89)80016-2","DOIUrl":"10.1016/S1385-7258(89)80016-2","url":null,"abstract":"<div><p>This is a sequel to the previous article (Proceedings Kon. Ned. Akad. van Wetensch., <strong>A 83</strong> (4), (1980), 367–374, see MR, 82d: 10053, 10G10.) on the Mordell and Tietäväinen inequalities for the distribution of zeros of polynomial congruences in incomplete residue systems <em>modulo k</em>. Here the emphasis is on composite k and applies to a general class of polynomials satisfying mild conditions of non-degeneracy for each prime <em>p</em>∣<em>k</em>.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 49-62"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80016-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"96873186","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Derative of analytic elements on infraconnected clopen sets 次连通开集上解析元的导数
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80017-4
Alain Escassut
{"title":"Derative of analytic elements on infraconnected clopen sets","authors":"Alain Escassut","doi":"10.1016/S1385-7258(89)80017-4","DOIUrl":"10.1016/S1385-7258(89)80017-4","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 63-70"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80017-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"112164102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Some theorems on semi-prime non-associative rings 半素非结合环上的几个定理
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80013-7
A.H. Boers
{"title":"Some theorems on semi-prime non-associative rings","authors":"A.H. Boers","doi":"10.1016/S1385-7258(89)80013-7","DOIUrl":"10.1016/S1385-7258(89)80013-7","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 21-23"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80013-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"111188223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On Veronesean surfaces 在Veronesean表面上
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80018-6
Alessandro Gimigliano
{"title":"On Veronesean surfaces","authors":"Alessandro Gimigliano","doi":"10.1016/S1385-7258(89)80018-6","DOIUrl":"10.1016/S1385-7258(89)80018-6","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 71-85"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80018-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134585701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 37
A characterization of dual Banach lattices 对偶Banach格的表征
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80015-0
V. Caselles
{"title":"A characterization of dual Banach lattices","authors":"V. Caselles","doi":"10.1016/S1385-7258(89)80015-0","DOIUrl":"10.1016/S1385-7258(89)80015-0","url":null,"abstract":"<div><p>In this paper we give a characterization of dual Banach lattices. In fact, we prove that a Banach function space <em>E</em> on a separable measure space which has the Fatou property is a dual Banach lattice if and only if all positive operators from <em>L</em><sup>1</sup>(0,1) into <em>E</em> are abstract kernel operators, hence extending the fact, proved by M. Talagrand, that separable Banach lattices with the Radon-Nikodym property are dual Banach lattices.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 35-47"},"PeriodicalIF":0.0,"publicationDate":"1989-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80015-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"106846702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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