On Operators Acting on Convergent Sequences in Banach Spaces

DOI10.1002/mana.3211800102zbMath0853.47017OpenAlexW2052539239MaRDI QIDQ4888013

Frank P. Cass

Publication date: 5 January 1997

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3211800102

zbMATH Keywords

representation theoremBanach sequence spaceisomorphic copy of \(c_ 0\)

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Functional analytic methods in summability (40H05) Summability in abstract structures (40J05)

Cites Work

• Infinite matrices of operators
• A survey of the theory of spectral operators
• BOUNDED LINEAR OPERATORS ON CONVERGENT SEQUENCES WITH TERMS IN A BANACH SPACE
• On Functional Transformations and Summability
• On Generalzed K -Transformations in Banach Spaces