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A Gevrey space characterization of certain Gelfand-Shilov spaces Sαβ 一类Gelfand-Shilov空间s - αβ的Gevrey空间表征
Indagationes Mathematicae (Proceedings) Pub Date : 1989-06-19 DOI: 10.1016/S1385-7258(89)80025-3
A.F.M. ter Elst, S.J.L. van Eijndhoven
{"title":"A Gevrey space characterization of certain Gelfand-Shilov spaces Sαβ","authors":"A.F.M. ter Elst,&nbsp;S.J.L. van Eijndhoven","doi":"10.1016/S1385-7258(89)80025-3","DOIUrl":"https://doi.org/10.1016/S1385-7258(89)80025-3","url":null,"abstract":"<div><p>Let <em>p,q</em> ∈ ℕ and let ϱ≥ϱ<sub><em>p,q</em></sub> with ϱ<sub><em>p,q</em></sub> = max {l/<em>p</em>, l/<em>q</em>}, ϱ<sub><em>p</em>1,</sub> = 1/<em>p</em>, and ϱ<sub>1,<em>q</em></sub>= 1/<em>q</em>, <em>p,q</em>&gt;l. In this paper it is proved that there exist symmetric differential operators <em>A</em><sub><em>p,q</em></sub> in L<sub>2</sub>(ℝ) such that the Gelfand-Shilov space <em><strong>S</strong></em><sub><em>pϱ</em></sub><sup><em>pϱ</em></sup> is equal to the Gevrey space of order 2<em>pqϱ</em> relative to <em>A<sub>p,q</sub></em>.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 2","pages":"Pages 175-184"},"PeriodicalIF":0.0,"publicationDate":"1989-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80025-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92172898","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
Small resolutions of nodal cubic threefolds 节点立方三倍的小分辨率
Indagationes Mathematicae (Proceedings) Pub Date : 1989-06-19 DOI: 10.1016/S1385-7258(89)80026-5
Hans Finkelnberg, Jürgen Werner
{"title":"Small resolutions of nodal cubic threefolds","authors":"Hans Finkelnberg,&nbsp;Jürgen Werner","doi":"10.1016/S1385-7258(89)80026-5","DOIUrl":"https://doi.org/10.1016/S1385-7258(89)80026-5","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 2","pages":"Pages 185-198"},"PeriodicalIF":0.0,"publicationDate":"1989-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80026-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92172899","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: 30
A structure theorem for abstract Witt rings containing rigid elements 包含刚性单元的抽象Witt环的结构定理
Indagationes Mathematicae (Proceedings) Pub Date : 1989-06-19 DOI: 10.1016/S1385-7258(89)80022-8
Rik Bos
{"title":"A structure theorem for abstract Witt rings containing rigid elements","authors":"Rik Bos","doi":"10.1016/S1385-7258(89)80022-8","DOIUrl":"https://doi.org/10.1016/S1385-7258(89)80022-8","url":null,"abstract":"<div><p>Suppose (<em>R, G</em>) is a non-reduced abstract Witt ring containing a rigid element <em>d</em> such that the value set D&lt;1,-<em>d</em>&gt; satisfies a certain finiteness-condition. Then (<em>R, G</em>) is a direct product of a reduced abstract Witt ring and a Witt-group ring.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 2","pages":"Pages 125-140"},"PeriodicalIF":0.0,"publicationDate":"1989-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80022-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92172896","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
The continuous linear image of a p-adic compactoid p进紧拟的连续线性象
Indagationes Mathematicae (Proceedings) Pub Date : 1989-03-20 DOI: 10.1016/S1385-7258(89)80021-6
W.H. Schikhof
{"title":"The continuous linear image of a p-adic compactoid","authors":"W.H. Schikhof","doi":"10.1016/S1385-7258(89)80021-6","DOIUrl":"10.1016/S1385-7258(89)80021-6","url":null,"abstract":"<div><p>The key result is the following. Let <em>A</em> be a closed (local) compactoid in a Banach space <em>E</em> over a non-archimedean valued field <em>K</em>. If <em>F</em> is a <em>K</em>-Banach space and <em>T:E→F</em> is a continuous linear map then <span><math><mrow><mover><mrow><mi>T</mi><mi>A</mi></mrow><mo>¯</mo></mover><mo>⊂</mo><mi>λ</mi><mi>T</mi><mi>A</mi></mrow></math></span> for each λ∈<em>K</em>, |λ|&gt;1. As an application the existence of the finest admissible topology of countable type on a locally convex space is proved.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 1","pages":"Pages 119-123"},"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)80021-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"96583586","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: 19
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 ,&nbsp;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
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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