Limited Operators and Strict Cosingularity

DOI10.1002/mana.19841190105zbMath0601.47019OpenAlexW2159649808MaRDI QIDQ3736382

Joseph Diestel, Jean Bourgain

Publication date: 1984

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19841190105

zbMATH Keywords

operator theoretic generalization of the \textit{B. Josefson} and \textit{A. Nissenzweig} theorem

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (63)

Weak limited sets and operators on Banach lattices ⋮ Existence of solutions of ordinary differential equations involving dissipative and compact operators in Gelfand-Phillips spaces ⋮ A Gelfand-Phillips Property with Respect to the Weak Topology ⋮ Banach spaces with the (strong) Gelfand-Phillips property ⋮ On Banach spaces with the Gelfand-Phillips property ⋮ Limited spaces ⋮ A characterization of Schwartz spaces ⋮ DOMINATION BY POSITIVE WEAK DUNFORD–PETTIS OPERATORS ON BANACH LATTICES ⋮ A class of sets in a Banach space coarser than limited sets ⋮ A holomorphic characterization of compact sets in Banach spaces ⋮ Finitely determined functions ⋮ On some classes of Dunford-Pettis-like operators ⋮ On the class of weak\(^*\) Dunford-Pettis operators ⋮ The \(p\)-Gelfand-Phillips property in spaces of operators and Dunford-Pettis like sets ⋮ A note on weak reciprocal Dunford-Pettis sets ⋮ Limited Sets in C(K)‐Spaces and Examples Concerning the Gelfand‐Phillips‐Property ⋮ Some characterizations of almost limited operators ⋮ On quantitative Gelfand-Phillips property and Phillips property ⋮ On the domination of limited and order Dunford-Pettis operators ⋮ Disjointly weak compactness in Banach lattices ⋮ Compact and limited operators ⋮ Positively limited sets in Banach lattices ⋮ Unnamed Item ⋮ Operators affiliated to Banach lattice properties and their enveloping norms ⋮ A note on some classes of operators on C(K,X) ⋮ A note on \(p\)-limited sets in dual Banach spaces ⋮ Isomorphic properties in spaces of compact operators ⋮ Non-linear operators and differentiability of Lipschitz functions ⋮ On complemented copies of the space c₀ in spaces Cp(X,E)$C_p(X,E)$ ⋮ The property (d) and the almost limited completely continuous operators ⋮ Polynomials and limited sets ⋮ Some classes of Banach spaces and complemented subspaces of operators ⋮ Topological properties of the complex vector lattice of bounded measurable functions ⋮ Unnamed Item ⋮ On the work of Lech Drewnowski ⋮ Sequentially Right Banach spaces of order $p$ ⋮ Grothendieck-type subsets of Banach lattices ⋮ To the memory of Joe Diestel and his mathematical legacy ⋮ Some properties of almost interval-preserving operators ⋮ Derivative and factorization of holomorphic functions ⋮ Order almost DUNFORD-PETTIS Operators on Banach lattices ⋮ AN OPERATOR SUMMABILITY OF SEQUENCES IN BANACH SPACES ⋮ Almost limited sets in Banach lattices ⋮ On relative compactness in \(K(X,Y)\) ⋮ On Some Classes of Operators on $C(K,X)$ ⋮ On the Gelfand-Phillips property in \(\epsilon\)-tensor products ⋮ A note on Dunford-Pettis like properties and complemented spaces of operators ⋮ On Banach spaces with the Gelfand-Phillips property. II ⋮ Dunford-Pettis like properties on tensor products ⋮ Approximation properties defined by spaces of operators and approximability in operator topologies ⋮ On sequential properties of Banach spaces, spaces of measures and densities ⋮ The strong Gelfand-Phillips property in Banach lattices ⋮ A Banach space containing non-trivial limited sets but no non-trivial bounding sets ⋮ On some subsets of $L_1(\mu,E)$ ⋮ On limitedness in locally convex spaces ⋮ Open problems in Banach spaces and measure theory ⋮ On the class of almost (L) limited operators ⋮ Unnamed Item ⋮ The closed ideal of \((c_0, p, q)\)-summing operators ⋮ Unnamed Item ⋮ FACTORIZATION OF UNBOUNDED THIN AND COTHIN OPERATORS ⋮ The weak Gelfand-Phillips property in spaces of compact operators ⋮ Weak precompactness in Banach lattices

This page was built for publication: Limited Operators and Strict Cosingularity