Weakly compact holomorphic mappings on Banach spaces

DOI10.2140/pjm.1988.131.179zbMath0605.46038OpenAlexW1972416700MaRDI QIDQ1084302

Raymond A. Ryan

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2140/pjm.1988.131.179

zbMATH Keywords

transposeDavis- Figiel-Johnson-Pelczynski factorization theoremn-homogeneous polynomialweakly compact linear mappingsweakly holomorphic mappings

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Holomorphic maps on manifolds (58C10) Other generalizations of function theory of one complex variable (32A30) Questions of holomorphy and infinite-dimensional manifolds (58B12)

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Polynomial reflexivity in Banach spaces ⋮ Sequential w‐right continuity and summing operators ⋮ LEFT ℓ₁-FACTORABLE POLYNOMIALS ⋮ \(\mathcal A\)-compact mappings ⋮ Polynomials generated by linear operators ⋮ Nuclear and integral polynomials ⋮ Unconditionally converging polynomials on Banach spaces ⋮ Polynomial Grothendieck properties ⋮ On holomorphic mappings with compact type range ⋮ Some properties of 𝑝-limited sets ⋮ On composition ideals and dual ideals of bounded holomorphic mappings ⋮ The polynomial dual of an operator ideal ⋮ Regularity and Algebras of Analytic Functions in Infinite Dimensions ⋮ Weakly compact multilinear mappings ⋮ Gantmacher Type Theorems for Holomorphic Mappings ⋮ Some progress on the polynomial Dunford-Pettis property ⋮ Asplund operators and holomorphic maps ⋮ HOLOMORPHIC SUPERPOSITION OPERATORS BETWEEN BANACH FUNCTION SPACES ⋮ Holomorphic mappings associated to composition ideals of polynomials ⋮ Polynomial compactness in Banach spaces ⋮ A polynomial Hutton theorem with applications

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