Об устойчивости ретро банахова фрейма относительно b-линейного функционала в n-банаховом пространстве

DOI10.46698/o3961-3328-9819-iOpenAlexW4360612376MaRDI QIDQ6165692

Prasenjit Ghosh, Tapas Kumar Samanta

Publication date: 1 August 2023

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj847

zbMATH Keywords

stabilityframeBanach frameretro Banach frame\(n\)-Banach space\(b\)-linear functional

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Tensor products in functional analysis (46M05) Tensor products of linear operators (47A80) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Cites Work

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• Banach spaces related to integrable group representations and their atomic decompositions. I
• Banach spaces related to integrable group representations and their atomic decompositions. II
• Describing functions: Atomic decompositions versus frames
• On \(n\)-normed spaces
• Banach frames for conjugate Banach spaces
• Representation of uniform boundedness principle and Hahn-Banach theorem in linear \(n\)-normed space
• Painless nonorthogonal expansions
• Perturbations of Banach Frames and Atomic Decompositions
• Construction of frame relative to n-Hilbert space
• Introduction of Frame in Tensor Product of $n$-Hilbert Spaces
• Atomic systems in n-Hilbert spaces and their tensor products
• ON STABILITY OF BANACH FRAMES
• Lineare 2‐normierte Räume
• A Class of Nonharmonic Fourier Series

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