The Banach-Saks index

DOI10.1070/SM2004v195n02ABEH000802zbMath1078.46010OpenAlexW2086775579MaRDI QIDQ4658291

Evgeny M. Semenov, Pheodor A. Sukochev

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2004v195n02abeh000802

zbMATH Keywords

Orlicz spacesrearrangement invariant spacesBanach-Saks index

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Geometry and structure of normed linear spaces (46B20)

Related Items (19)

Individual ergodic theorems in noncommutative Orlicz spaces ⋮ Banach-Saks property in Marcinkiewicz spaces ⋮ On Arazy's problem concerning isomorphic embeddings of ideals of compact operators ⋮ Johnson-Schechtman inequalities for noncommutative martingales ⋮ Isomorphic classification of 𝐿_{𝑝,𝑞}-spaces: the case 𝑝=2,1≤𝑞<2 ⋮ The Banach-Saks index of some sequence spaces ⋮ The structure of subspaces in Orlicz spaces lying between \(L^1\) and \(L^2\) ⋮ The Banach--Saks index of rearrangement invariant spaces on [0,1.] ⋮ The Banach-Saks properties in Orlicz-Lorentz spaces ⋮ Isomorphic classification of \(L_{p, q}\)-spaces ⋮ Banach-Saks properties of Musielak-Orlicz and Nakano sequence spaces ⋮ Cesaro mean convergence of martingale differences in rearrangement invariant spaces ⋮ Strictly singular inclusions into \(L^1 + L^\infty\) ⋮ The Banach--Saks \(p\)-property ⋮ Interpolation and extrapolation of strictly singular operators between \(L_{p}\) spaces ⋮ Isomorphic classification of \(L_{p,q}\)-spaces. II ⋮ Strictly singular operators on $L_p$ spaces and interpolation ⋮ Estimation of a quadratic function and the $p$-Banach--Saks property ⋮ On symmetric spaces containing isomorphic copies of Orlicz sequence spaces

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