Strongly almost summing holomorphic mappings.

DOI10.1016/S0022-247X(03)00548-1zbMath1049.46029arXivmath/0307312OpenAlexW2963600202MaRDI QIDQ1414185

Daniel M. Pellegrino

Publication date: 19 November 2003

Published in: Journal of Mathematical Analysis and Applications, Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307312

zbMATH Keywords

homogeneous polynomialssumming operatorsholomorphy typeideals of polynomialsabsolutely summing mappingsalmost \(p\)-summing mappings

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Operator ideals (47L20)

Related Items

Nonlinear absolutely summing operators revisited ⋮ On almost summing polynomials and multilinear mappings ⋮ Cohen strongly \(p\)-summing holomorphic mappings on Banach spaces ⋮ \(p\)-summing Bloch mappings on the complex unit disc ⋮ Mixing multilinear operators with or without a linear analogue ⋮ Absolutely \({\gamma}\)-summing multilinear operators ⋮ Strongly almost summing holomorphic mappings. ⋮ On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility ⋮ Almost summing and multiple almost summing multilinear operators on \(l_p\) spaces ⋮ Coincidence situations for absolutely summing nonlinear mappings ⋮ A characterization of type 2 spaces ⋮ Fully and strongly almost summing multilinear mappings ⋮ On the multilinear generalizations of the concept of absolutely summing operators ⋮ Summability of multilinear mappings: Littlewood, Orlicz and beyond ⋮ Lineability of summing sets of homogeneous polynomials ⋮ Holomorphic mappings associated to composition ideals of polynomials

Cites Work

• Strongly almost summing holomorphic mappings.
• Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
• Fully and strongly almost summing multilinear mappings
• Fully summingmultilinear and holomorphicmappings into Hilbert spaces
• Cotype and absolutely summing homogeneous polynomials in L_pspaces
• Almost Summing Polynomials
• Holomorphy types for open subsets of a Banach space
• Holomorphy types on a Banach spaces
• Almost \(p\)-summing polynomials and multilinear mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item