Tauberian Operators on Banach Spaces

DOI10.2307/2041199zbMath0304.47023OpenAlexW4253180576MaRDI QIDQ4059987

Albert Wiliansky, Nigel J. Kalton

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2041199

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) (Semi-) Fredholm operators; index theories (47A53)

Related Items (35)

Convolution operators on group algebras which are tauberian or cotauberian ⋮ New classes of operators admitting a perturbative characterization ⋮ Supertauberian operators and perturbations ⋮ Tauberian convolution operators acting on \(L_{1}(G)\) ⋮ Obituary: Nigel John Kalton, 1946-2010 ⋮ Extending Edgar's ordering to locally convex spaces ⋮ Relatively tauberian resolvent operators ⋮ Seminorms related to weak compactness and to Tauberian operators ⋮ Disjointly non-singular operators: extensions and local variations ⋮ On sign embeddings and narrow operators on 𝐿₂ ⋮ Cotauberian operators on \(L_1(0, 1)\) obtained by lifting ⋮ A spectral radius problem connected with weak compactness ⋮ Injectivity of Lipschitz operators ⋮ Some results on upper semi-Fredholm operators on Banach lattices ⋮ Interpolation of weakly compact operators ⋮ Restrictions of relatively Tauberian operators. ⋮ Disjointly non-singular operators on Banach lattices ⋮ A quantitative approach to disjointly non-singular operators ⋮ Some remarks on the reflexivity of the real interpolation spaces ⋮ Weakly compact operators and interpolation ⋮ Classes of operators preserved by extensions or liftings ⋮ Ultrapowers and semigroups of operators ⋮ On the operators which are invertible modulo an operator ideal ⋮ On a theorem of Kalton and Wilansky concerning Tauberian operators ⋮ Tauberian polynomials ⋮ Examples of Tauberian operators acting on \(C[0,1\)] ⋮ Lifting unconditionally converging series and semigroups of operators ⋮ Interpolating hereditarily indecomposable Banach spaces ⋮ Characterizations of Tauberian Operators and Other Semigroups of Operators ⋮ The Generalized Fredholm Operators ⋮ Semi-embeddings of Banach space ⋮ Some properties of the second conjugate of a Tauberian operator ⋮ The reflexive dimension of anR-space ⋮ Rigidity of commutators and elementary operators on Calkin algebras ⋮ Tauberian Operators. Properties, Applications and Open Problems

Cites Work

• Semifredholm maps of FK spaces
• Factoring weakly compact operators
• Embedding theorems for commutative Banach algebras
• Semigroups of operators and measures of noncompactness
• On bases and unconditional convergence of series in Banach spaces
• A Characterization of Banach Spaces Containing l ¹
• The Generalized Fredholm Operators
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