Functional analysis proofs of Abel’s theorems

DOI10.1090/S0002-9939-04-07354-XzbMath1099.40003MaRDI QIDQ4813643

Mubariz T. Garayev

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

diagonal operatorBerezin symbolAbel convergent

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Invariant subspaces of linear operators (47A15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (12)

On the proof of Beurling's theorem on \(z\)-invariant subspaces ⋮ Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number ⋮ Numerical radius, Berezin number, and Berezin norm inequalities for sums of operators ⋮ Improvements of Berezin number inequalities ⋮ A characterization of some function classes ⋮ Berezin number inequalities for operators ⋮ On the summability methods of logarithmic type and the Berezin symbol ⋮ On some problems related to Berezin symbols ⋮ Berezin symbol and invertibility of operators on the functional Hilbert spaces ⋮ On Abel Convergence of Double Sequences ⋮ Complete refinements of the Berezin number inequalities ⋮ Berezin symbols and Borel summability

Cites Work

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