On Pitt's theorem for operators between scalar and vector-valued quasi-Banach sequence spaces

DOI10.1007/s006050050083zbMath0995.46016OpenAlexW2080355090MaRDI QIDQ1568084

Andreas Defant, Juan A. López Molina, Maria José Rivera

Publication date: 27 June 2000

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006050050083

zbMATH Keywords

Maurey-Rosenthal factorization theorygliding hump methodsquasi-Banach sequence spacesquasi-normed Minkowski, Lorentz and Orlicz sequence spaces

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Local theory of Banach spaces (46B07) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Banach sequence spaces (46B45) Spaces of linear operators; topological tensor products; approximation properties (46A32) Tensor products in functional analysis (46M05)

Related Items (6)

Uniqueness of unconditional basis of \(H_p(\mathbb{T}) \oplus \ell_2\) and \(H_p(\mathbb{T}) \oplus \mathcal{T}^{(2)}\) for \(0 < p < 1\) ⋮ Maximal factorization of operators acting in Köthe-Bochner spaces ⋮ Morrey sequence spaces: Pitt's theorem and compact embeddings ⋮ Factorization in mixed norm Hardy and BMO spaces ⋮ Complete isomorphic classifications of some spaces of compact operators ⋮ Uniqueness of unconditional basis of $\ell _{2}\oplus \mathcal T^{(2)}$

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