Matrix transformations on generalized sequence spaces

DOI10.1016/0022-247X(85)90130-1zbMath0573.47018OpenAlexW2073087565MaRDI QIDQ1063218

B. George

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(85)90130-1

zbMATH Keywords

matrix transformationvector-valued sequence spacescharacterizations of nuclear and precompact diagonal operatorsgeneralized \(\beta \) - and Köthe dualsinfinite matrix of continuous linear operators

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items

Order matrix transformations on some Banach lattice valued sequence spaces ⋮ Bi-locally convex spaces and Schauder decompositions

Cites Work

• The generalized spaces \(l^ 1(\)X) and \(m_ 0(\)X)
• Generalized Köthe sequence spaces and decompositions
• Sur les espaces parfaits de suites généralises
• Hereditary properties of vector sequence spaces.
• Duals of generalized sequence spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Matrix transformations on generalized sequence spaces