The scalar-plus-compact property in spaces without reflexive subspaces

DOI10.1090/tran/7353zbMath1417.46006arXiv1608.01962OpenAlexW2963467570MaRDI QIDQ4644952

Pavlos Motakis, Spiros A. Argyros

Publication date: 9 January 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01962

zbMATH Keywords

isomorphic \(\ell_1\)-predualsBourgain-Delbaen spacesasymptotic \(c_0\) spacesseparable \(\mathscr{L}_\infty\)-spaces

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach sequence spaces (46B45) Asymptotic theory of Banach spaces (46B06)

Related Items (4)

On quasi norm attaining operators between Banach spaces ⋮ Separable spaces of continuous functions as Calkin algebras ⋮ Diametrically complete sets with empty interior and constant width sets with empty interior ⋮ An unconditionally saturated Banach space with the scalar-plus-compact property

Cites Work

• Unnamed Item
• A dual method of constructing hereditarily indecomposable Banach spaces
• Strictly singular operators in Tsirelson like spaces
• A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
• The universality of \(\ell _{1}\) as a dual space
• Embedding uniformly convex spaces into spaces with very few operators
• A class of special L//infinity spaces
• New classes of \(L_ p-\)spaces
• An arbitrarily distortable Banach space
• Absolutely summing operators and local unconditional structures
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Ramsey methods in analysis
• Topological properties of Banach spaces
• Subspaces and quotient spaces of \((\sum G_n)_{l_p}\) and \((\sum G_n)_{c_0}\)
• Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\)
• A new dichotomy for Banach spaces
• ON THE STRUCTURE OF SEPARABLE ‐SPACES
• More (\ell_r) saturated (\mathcal{L}_\infty) spaces
• The Unconditional Basic Sequence Problem
• Saturated extensions, the attractors method and Hereditarily James Tree Space
• A Banach Space Not Containing c 0 , l 1 or a Reflexive Subspace
• A separable somewhat reflexive Banach space with nonseparable dual
• Ideal structure of the algebra of bounded operators acting on a Banach space
• A reflexive hereditarily indecomposable space with the hereditary invariant subspace property
• On Banach spaces containing $L_{1}(μ)$
• Banach Spaces Whose Duals Contain l 1 (Γ) With Applications to the Study of Dual L 1 (μ) Spaces
• On the Structure of the Spreading Models of a Banach Space

This page was built for publication: The scalar-plus-compact property in spaces without reflexive subspaces