New classes of $L_ p-$spaces

DOI10.1007/BFb0096358zbMath0476.46020MaRDI QIDQ1160388

Publication date: 1981

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

Banach-Mazur distance Radon-Nikodym property three-space problem complemented subspaces decomposition properties blocking techniques weakly compact extension property Dunford-Pettis-property isomorphic classification problem Schur-property script Lp-spaces translation- invariant tree-spaces tree- structures

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) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Banach spaces of continuous, differentiable or analytic functions (46E15) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Duality and reflexivity in normed linear and Banach spaces (46B10)

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New classes of \(L_ p-\)spaces