## Functional Analysis and Operator Theory: Proceedings of a Conference held in Memory of U.N.Singh, New Delhi, India, 2-6 August, 1990From 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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A-module Analysis analytic functions Applications approximation assume Banach algebra Banach space bounded called Carleman closed coefficients commuting compact complete composition operators condition consider constant contained continuous converges convex Corollary couple defined DEFINITION denote determined difference differential easily equivalent example exists exposed fact finite fixed follows function give given Groups half plane Hence holds holomorphic hyponormal ideal implies inequality integral interval INTRODUCTION Lemma limit linear locally Math Mathematics measure multiplication norm normal Note obtain operators periodic polynomial positive Proc Proceedings PROOF Proposition prove REFERENCES relation REMARK respectively result satisfying semigroup seminorm sequence shift shown strongly subset subspace sufficient Suppose taking Theorem Theory topology transform uniformly unit University valued vector weakly weighted zero