Generalized multiple summing multilinear operators on Banach spaces
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Publication:2325695
DOI10.1007/s00009-019-1404-0zbMath1434.46027arXiv1705.07259OpenAlexW2967927537MaRDI QIDQ2325695
Fabrício Santos, Joilson O. Ribeiro
Publication date: 27 September 2019
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.07259
Banach sequence spacesvector-valued sequencesmultiple summing operatorsideals of multilinear operators
(Spaces of) multilinear mappings, polynomials (46G25) Banach sequence spaces (46B45) Ideals of polynomials and of multilinear mappings in operator theory (47L22)
Related Items (5)
Uncomplemented subspaces in operator and polynomial ideals ⋮ Summing multilinear operators by blocks: the isotropic and anisotropic cases ⋮ Duality theory for generalized summing linear operators ⋮ An anisotropic summability and mixed sequences ⋮ Hyper-ideals of multilinear operators and two-sided polynomial ideals generated by sequence classes
Cites Work
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- Nonlinear absolutely summing operators revisited
- Operator ideals related to absolutely summing and Cohen strongly summing operators
- Every Banach ideal of polynomials is compatible with an operator ideal
- Holomorphic functions and polynomial ideals on Banach spaces
- Coordinatewise multiple summing operators in Banach spaces
- Multiple summing operators on Banach spaces.
- On ideals of polynomials and multilinear mappings between Banach spaces
- Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
- Mappings between Banach spaces that send mixed summable sequences into absolutely summable sequences
- On the transformation of vector-valued sequences by linear and multilinear operators
- Absolutely \({\gamma}\)-summing multilinear operators
- On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility
- Two new properties of ideals of polynomials and applications
- Coherent sequences of polynomial ideals on Banach spaces
- Holomorphy types and ideals of multilinear mappings
- Inclusions and coincidences for multiple summing multilinear mappings
- When every multilinear mapping is multiple summing
- Multilinear extensions of Grothendieck's theorem
- The inclusion theorem for multiple summing operators
- Cohen and multiple Cohen strongly summing multilinear operators
- Absolut p-summierende Abbildungen in normierten Räumen
- Almost \(p\)-summing polynomials and multilinear mappings
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