Functional Analysis and Operator Theory: Proceedings of a Conference held in Memory of U. N. Singh New Delhi, India, 2–6 August, 1990

Ajay Kumar (auth.), B. S. Yadav, D. Singh (eds.)3540553657, 9783540553656, 0387553657

From the Contents: A. Lambert: Weighted shifts and composition operators on L2; – A.S.Cavaretta/A.Sharma: Variation diminishing properties and convexityfor the tensor product Bernstein operator; – B.P. Duggal: A note on generalised commutativity theorems in the Schatten norm; – B.S.Yadav/D.Singh/S.Agrawal: De Branges Modules in H2(Ck) of the torus; – D. Sarason: Weak compactness of holomorphic composition operators on H1; – H.Helson/J.E.McCarthy: Continuity of seminorms; – J.A. Siddiqui: Maximal ideals in local Carleman algebras; – J.G. Klunie: Convergence of polynomials with restricted zeros; – J.P. Kahane: On a theorem of Polya; – U.N. Singh: The Carleman-Fourier transform and its applications; – W. Zelasko: Extending seminorms in locally pseudoconvex algebras;

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Table of contents :
A qualitative uncertainity principle for hypergroups….Pages 1-9
Weighted shifts and composition operators on L 2 ….Pages 10-17
Variation diminishing properties and convexity for the tensor product Bernstein operator….Pages 18-32
Approximation in weighted Banach spaces of power series….Pages 33-46
A note on generalised commutativity theorems in the Schatten norm….Pages 47-54
De branges modules in H 2 (ℂ K ) of the torus….Pages 55-74
Weak compactness of holomorphic composition operators on H 1 ….Pages 75-79
Nonexpansive mappings and proximinality in normed almost linear spaces….Pages 80-87
Continuity of seminorms….Pages 88-90
Maximal ideals in local Carleman algebras….Pages 91-99
Convergence of polynomials with restricted zeros….Pages 100-105
On a theorem of Pólya….Pages 106-112
Algebra direct sum decomposition of C R (X)….Pages 113-119
Exposed points and points of continuity in closed bounded convex sets….Pages 120-127
Boundedly complete bases in various locally convex Spaces….Pages 128-140
A representation of the multipler module hom A (A,W)….Pages 141-146
On two-parameter semigroup of operators….Pages 147-153
Higher Fréchet and discrete Gâteaux differenttiability of n-convex functions on Banach spaces….Pages 154-171
Role of James like spaces in multiplicative linear functionals on operator algebras….Pages 172-180
The Carleman-Fourier transform and its applications….Pages 181-214
Extending seminorms in locally pseudoconvex algebras….Pages 215-223