Summing inclusion maps between symmetric sequence spaces

DOI10.1090/S0002-9947-02-03056-8zbMath1020.47019arXivmath/0006034MaRDI QIDQ3151239

Andreas Defant, Mieczyslaw Mastylo, Carsten Michels

Publication date: 7 October 2002

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

Full work available at URL: https://arxiv.org/abs/math/0006034

zbMATH Keywords

identity map\(k\)-th approximation number2-concave symmetric Banach sequence spaceabsolutely \((E,1)\)-summingeigenvalue distribution of compact operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract interpolation of topological vector spaces (46M35)

Related Items (13)

Summing norms of identities between unitary ideals ⋮ On interpolation of bilinear operators ⋮ Maurey--Rosenthal factorization of positive operators and convexity ⋮ Extensions of Grothendieck and Bennett-Carl theorems ⋮ Strong factorization of operators on spaces of vector measure integrable functions and unconditional convergence of series ⋮ Approximation numbers of identity operators between symmetric sequence spaces ⋮ Ideals of multilinear mappings via Orlicz spaces and translation invariant operators ⋮ Techniques to generate hyper-ideals of multilinear operators ⋮ Diagonal multilinear operators on Köthe sequence spaces ⋮ Products of operator ideals and extensions of Schatten classes ⋮ Gelfand numbers of identity operators between symmetric sequence spaces ⋮ Bohrs power series theorem and local Banach space theory ⋮ ON MULTIPLIERS BETWEEN SOME SPACES OF HOLOMORPHIC FUNCTIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Summing norms of identities between unitary ideals
• A factorization theorem in Banach lattices and its application to Lorentz spaces
• On the interpolation of injective or projective tensor products of Banach spaces
• Non commutative Khintchine and Paley inequalities
• Some remarks on interpolation theorems and the boundness or the triangular projection in unitary matrix spaces
• A complex interpolation formula for tensor products of vector-valued Banach function spaces
• Inclusion mappings between Orlicz sequence spaces
• Eigenvalue distribution of compact operators
• Orlicz norm estimates for eigenvalues of matrices
• Gelfand numbers of identity operators between symmetric sequence spaces
• Inclusion mappings between \(l^p\) spaces
• Page no. 243 not founds
• Tensor Products and Grothendieck Type Inequalities of Operators in L p - Spaces
• Absolut-(p , 1)-summierende identische Operatoren von l _u in l _v
• s-Numbers of operators in Banach spaces
• Orlicz sequence spaces without local convexity
• Interpolation of real method spaces via some ideals of operators
• Some remarks on (p,q)-absolutely summing operators in $l_{p}$-spaces
• A remark on (s,t)-absolutely summing operators in $L_{p}$-spaces
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces
• Asymptotic estimates for approximation quantities of tensor product identities

This page was built for publication: Summing inclusion maps between symmetric sequence spaces