On a problem of H.\,P.\ Rosenthal concerning operators on \(C\)[0,1]

DOI10.1016/j.aim.2008.03.015zbMath1146.47021OpenAlexW2069365627MaRDI QIDQ932169

Ioannis Gasparis

Publication date: 10 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.aim.2008.03.015

zbMATH Keywords

boundariesdual spaceadjoint operatorcompact Hausdorff spaceweakly null sequenceoperators on \(C(K)\) spaces

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators on function spaces (general) (47B38) Partition relations (03E02)

Related Items (4)

Summability in L1 of a vector measure ⋮ An extension of James's compactness theorem ⋮ A note on operators fixing cotype subspaces of $C[0,1$] ⋮ Open problems in Banach spaces and measure theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weakly extremal properties of Banach spaces
• One property of Lindenstrauss-Phelps spaces
• Extremely weakly unconditionally convergent series
• An extension theorem for separable Banach spaces
• \(C(K)\) quotients of separable \(\mathcal L_\infty\) spaces
• On extreme points in separable conjugate spaces
• On the classification of the Banach spaces whose duals are \(L_1\) spaces
• On factors of C(\([0,1\)) with non-separable dual]
• On bases and unconditional convergence of series in Banach spaces
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• Projections in certain Banach spaces
• A Characterization of Banach Spaces Containing l ¹
• AN EXTREME POINT CRITERION FOR SEPARABILITY OF A DUAL BANACH SPACE, AND A NEW PROOF OF A THEOREM OF CORSON
• A Characterization of Banach Spaces Containing C 0
• A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces
• Smooth Norms that Depend Locally on Finitely many Coordinates
• On C(S)-subspaces of separable Banach spaces

This page was built for publication: On a problem of H.\,P.\ Rosenthal concerning operators on \(C\)[0,1]