Factorization property in rearrangement invariant spaces

DOI10.1007/s43036-023-00286-6arXiv2304.00383OpenAlexW4386303201MaRDI QIDQ6086411

Khazhak Navoyan

Publication date: 12 December 2023

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.00383

zbMATH Keywords

Rademacher functionsrearrangement invariant spaceunconditional basisHaar basisfactorization of operatorsclassical Banach spacesweakly null sequenceblock basisfaithful Haar systemoperator with a large diagonal

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Spaces of operators; tensor products; approximation properties (46B28) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Probabilistic methods in Banach space theory (46B09) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

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• Primarité de \(L^ p(L^ r)\), \(1<p,r<\infty\)
• Factorization of the identity through operators with large diagonal
• Strategically reproducible bases and the factorization property
• Banach space theory. The basis for linear and nonlinear analysis
• Haar Functions and the Basis Problem for Banach Spaces
• Projections in certain Banach spaces
• An Introduction to Banach Space Theory
• The space is primary for 1 < p < ∞

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