{"title":"The angular derivative of Fréchet-holomorphic maps in J*-algebras and complex Hilbert spaces","authors":"Kazimierz Wjodarczyk","doi":"10.1016/S1385-7258(88)80023-4","DOIUrl":"https://doi.org/10.1016/S1385-7258(88)80023-4","url":null,"abstract":"<div><p>We study the problem of the existence of the angular derivative of Fréchet-holomorphic maps of the generalized right half-planes defined by non-zero partial isometries in infinite dimensional complex Banach spaces called <em>J</em><sup>*</sup>-algebras. These generalized right half-planes and open unit balls (which are bounded symmetric homogeneous domains) are holomorphically equivalent. The results obtained here also hold in C <sup>*</sup>-algebras, <em>JC</em><sup>*</sup>-algebras, B <sup>*</sup>-algebras and ternary algebras, containing non-zero partial isometries, and in complex Hilbert spaces. Some examples are given. The principal tool we use are general results of the Pick-Julia type in <em>J</em><sup>*</sup>-algebras.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 4","pages":"Pages 455-468"},"PeriodicalIF":0.0,"publicationDate":"1988-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80023-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72243390","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}
{"title":"On inner and outer convex cores of bounded sets with an application to Gδ-embeddings of 1[0,1]","authors":"D. van Dulst","doi":"10.1016/S1385-7258(88)80019-2","DOIUrl":"10.1016/S1385-7258(88)80019-2","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 4","pages":"Pages 405-417"},"PeriodicalIF":0.0,"publicationDate":"1988-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80019-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"105577480","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}
{"title":"Integer valued polynomials over function fields","authors":"F.J. van der Linden","doi":"10.1016/S1385-7258(88)80009-X","DOIUrl":"https://doi.org/10.1016/S1385-7258(88)80009-X","url":null,"abstract":"<div><p>Let <em>A</em> be an integrally closed subring of a function field <em>K</em> defined over a finite field. In this paper we investigate whether the subring of <em>K[X]</em>, consisting of those polynomials ƒ with ƒ[<em>A</em>]⊂<em>A</em>, has an <em>A</em>-basis {g<sub>i</sub>: i ∈ ℤZ<sub>≥0</sub>}, with deg (<em>g<sub>i</sub>) = i</em>.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 293-308"},"PeriodicalIF":0.0,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80009-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89990962","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}
{"title":"Unbounded strictly singular operators","authors":"R.W. Cross","doi":"10.1016/S1385-7258(88)80004-0","DOIUrl":"https://doi.org/10.1016/S1385-7258(88)80004-0","url":null,"abstract":"<div><p>Let <em>D(T)⊂X→Y</em> be an unbounded linear operator where <em>X</em> and <em>Y</em> are normed spaces. It is shown that if <em>Y</em> is complete then <em>T</em> is strictly singular if and only if <em>T</em> is the sum of a continuous strictly singular operator and an unbounded finite rank operator. A counterexample is constructed for the case in which <em>Y</em> is not complete.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 245-248"},"PeriodicalIF":0.0,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80004-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90124929","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}
{"title":"Characterisation of certain varieties of associative rings","authors":"T.R. Sundararaman","doi":"10.1016/S1385-7258(88)80013-1","DOIUrl":"10.1016/S1385-7258(88)80013-1","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 339-341"},"PeriodicalIF":0.0,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80013-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"112784118","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}
{"title":"Weakly closed subspaces and the Hahn-Banach extension property in p-adic analysis","authors":"N. de Grande-de Kimpe , C. Perez-Garcia","doi":"10.1016/S1385-7258(88)80006-4","DOIUrl":"https://doi.org/10.1016/S1385-7258(88)80006-4","url":null,"abstract":"<div><p>Several properties of non-archimedean weakly closed subspaces in connection with the extension of continuous linear functionals are studied in this paper.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 253-261"},"PeriodicalIF":0.0,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80006-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91756099","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}
{"title":"Elliptic curves on the general hypersurface of degree 7 of ℙ4","authors":"Giorgio Ferrarese , Daniela Romagnoli","doi":"10.1016/S1385-7258(88)80005-2","DOIUrl":"10.1016/S1385-7258(88)80005-2","url":null,"abstract":"<div><p>In this paper we prove that, if <em>C</em> is an elliptic curve of degree <em>d</em> on a general hypersurface <em>V</em> of degree 7 of ℙ<sup>4</sup>, then <em>d</em> is a multiple of 7.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 249-252"},"PeriodicalIF":0.0,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80005-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"104475247","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}
{"title":"Branched affine and projective structures on compact Riemann surfaces","authors":"John T. Masterson","doi":"10.1016/S1385-7258(88)80010-6","DOIUrl":"10.1016/S1385-7258(88)80010-6","url":null,"abstract":"<div><p>It is first established that there exist linear manifolds of branched affine structures having certain nonpolar branch divisors and simple polar divisors on an arbitrary compact Riemann surface <em>M</em> of genus <em>g≤1</em>. When <em>≥2</em>, it is shown that these linear manifolds form a complex analytic vector bundle over the manifold of simple polar divisors on <em>M</em>. When <em>g=1</em>, elliptic functions are used to construct certain projective structures on <em>M</em>. A partial determination is made as to which of these projective structures are affine and which are not.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 309-319"},"PeriodicalIF":0.0,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80010-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"109993601","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}
{"title":"Monomiality and 2-isoclinism of groups","authors":"N.S. Hekster, R.W. van der Waall","doi":"10.1016/S1385-7258(88)80007-6","DOIUrl":"https://doi.org/10.1016/S1385-7258(88)80007-6","url":null,"abstract":"<div><p>A fair classification of groups of prime-power order can be given, when employing the equivalence relation brought out by Ph. Hall, called <em>n</em>-isoclinism (<em>n≥0</em>). In this paper <em>n</em>-isoclinism is studied from a character theoretic point of view in case <em>n=0</em>, 1 or 2. It is known that being an <em>M</em>-group is invariant under 1-isoclinism and that under 2-isoclinism this does not hold in general. However, under suitable oddness assumptions on the groups in question, the invariance under 2-isoclinism of being an <em>M</em>-group will be established in an important special case.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 3","pages":"Pages 263-276"},"PeriodicalIF":0.0,"publicationDate":"1988-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80007-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90124927","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}