Factoring compact operators

DOI10.1007/BF02771684zbMath0236.47045MaRDI QIDQ2552292

William B. Johnson

Publication date: 1971

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Linear spaces of operators (47L05)

Related Items

Amenability of Banach algebras of compact operators, Dense factorization of compact operators, Amenability of algebras of approximable operators, Morita equivalence for Banach algebras, Homological properties of the algebra of compact operators on a Banach space, A Banach space without a basis which has the bounded approximation property, LEFT ℓ₁-FACTORABLE POLYNOMIALS, Representing compact sets of compact operators and of compact range vector measures, Unnamed Item, Hereditary approximation property, On approximation properties related to unconditionally p‐compact operators and Sinha–Karn p‐compact operators, Convolution operators on spaces of entire functions, Sur la factorisation de certains multiplicateurs, Various notions of amenability in Banach algebras, On the weak amenability of \(\mathcal A(X)\) and its relation with the approximation property., Factoring Compact and Weakly Compact Operators through Reflexive Banach Lattices, Examples of uniformly homeomorphic Banach spaces, A remark on the approximation of \(p\)-compact operators by finite-rank operators, Injective dual Banach spaces and operator ideals, Applications of Banach ideals of operators, On complemented subspaces of sums and products of Banach spaces, Grothendieck operators on tensor products, Covering a compact set in a Banach space by an operator range of a Banach space with basis, Uniform homeomorphisms of Banach spaces and asymptotic structure, Uniformly factoring weakly compact operators, The uniform structure of Banach spaces, On the simplicial cohomology of Banach operator algebras, Factoring compact sets of operators, Factoring operators through \(c_0\), Banach ideals of operators with applications, Factoring weakly compact operators, Compact holomorphic mappings on Banach spaces and the approximation property, James' quasi-reflexive space is primary, Unnamed Item, The transfer of property $(\beta )$ of Rolewicz by a uniform quotient map, Über approximativ faktorisierbare Operatoren, Uniform factorization for \(p\)-compact sets of \(p\)-compact linear operators, Über spezielle Klassen von Schwartz-Räumen II, Banach ideals of p-compact operators, The \(p\)-approximation property in terms of density of finite rank operators, Closed ideals in the algebra of compact-by-approximable operators, THE QUOTIENT ALGEBRA OF COMPACT-BY-APPROXIMABLE OPERATORS ON BANACH SPACES FAILING THE APPROXIMATION PROPERTY, A structure theorem for Schwartz spaces, Operator characterizations of \(L_p\)-spaces, Banach ideals of operators with applications to the finite dimensional structure of Banach spaces, Complementably universal Banach spaces. II., A compact operator characterization of \(l_1\), The ideal of operators factored through a Banach space with a basis, Isometric factorization of weakly compact operators and the approximation property, On Banach spaces with the commuting bounded approximation property, Banach spaces whose algebra of bounded operators has the integers as their \(K_0\)-group, Ideals of hypercyclic operators that factor through $\ell ^p$, A note on Banach spaces containing \(c_ 0\) or \(C_{\infty}\)

Cites Work

• On totally incomparable Banach spaces
• The \(L_ p\) spaces
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• Projections in certain Banach spaces
• Absolut p-summierende Abbildungen in normierten Räumen
• On C(S)-subspaces of separable Banach spaces
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• On some properties of p-nuclear and p-integral operators
• Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
• Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basic
• A Theory of Cross-Spaces. (AM-26)