\(L^p\)-structure in real Banach spaces

zbMath0362.46020MaRDI QIDQ1239885

Konrad Meyfarth, W. Müller, Richard Evans, Ehrhard Behrends, Silke Göbel, Peter Greim, Rainer Danckwerts

Publication date: 1977

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

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Abstract \(E(L_ \varphi)\) spaces ⋮ Stability results of properties related to the Bishop-Phelps-Bollobás property for operators ⋮ On the intrinsic and the spatial numerical range ⋮ On natural density, orthomodular lattices, measure algebras and non-distributive \(L^p\) spaces ⋮ Some results concerning the M-structure of operator spaces ⋮ Hahn-Banach extension operators and spaces of operators ⋮ On multipliers and \(L\)- and \(M\)-projections in Banach lattices and Köthe function spaces ⋮ Numerical index of absolute sums of Banach spaces ⋮ Boolean valued analysis of Banach spaces ⋮ Geometric characterization of preduals of injective Banach lattices ⋮ Contractive projections on Banach algebras ⋮ Isometries and isometric equivalence of hermitian operators on \(A^{1,p}(X)\) ⋮ On the Banach-Stone theorem ⋮ On some properties of hyperstonean spaces ⋮ \(L^p\)-projections on subspaces and quotients of Banach spaces ⋮ Category measures, the dual of $\mathrm {C}(K)^{\delta }$ and hyper-Stonean spaces ⋮ Semisummands and semiideals in Banach spaces ⋮ Inner \(M\)-ideals in Banach algebras

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