On factorization of Hilbert--Schmidt mappings

DOI10.1016/j.jmaa.2004.09.008zbMath1066.47062OpenAlexW2076111337MaRDI QIDQ1772290

Cristiane A. Mendes

Publication date: 18 April 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.09.008

zbMATH Keywords

holomorphic mappingsHilbert-Schmidt mappingshomogeneous polynomials

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60)

Related Items (2)

On the composition ideals of Schatten class type mappings ⋮ Multilinear functionals of Schatten class type and approximation numbers

Cites Work

• On holomorphic mappings of Schatten class type
• Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
• Strongly \(p\)-summing multilinear operators.
• On factorization of Schatten class type mappings
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type
• On a question of Pietsch about Hilbert-Schmidt multilinear mappings
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