An automatic adjoint theorem and its applications

DOI10.1090/S0002-9939-01-06285-2zbMath1003.46004OpenAlexW1930584469MaRDI QIDQ2781344

Shijie Lu, Junde Wu

Publication date: 19 March 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06285-2

zbMATH Keywords

sequence spaceinfinite matrixadjoint operatortranspose matrixsigned-weak gliding hump property\(\lambda\)-multiplier convergence theorem of Orlicz-Pettis typeautomatic adjoint theoremStiles' Orlicz-Pettis theorem

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Unconditionally Cauchy series and Cesàro summability ⋮ An ideal topology type convergent theorem on scale effect algebras ⋮ Spaces of \(\lambda\)-multiplier convergent series ⋮ On the Mikusiński-Antosik diagonal theorem and the equivalence of two types of convergence in Köthe spaces

Cites Work

• Subseries Convergence in Spaces with a Schauder Basis
• A new class of sequence spaces with applications in summability theory.
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