Coincidence situations for absolutely summing nonlinear mappings
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Publication:2456040
DOI10.4171/PM/1782zbMath1137.46029arXiv0809.4171MaRDI QIDQ2456040
Geraldo Botelho, Daniel M. Pellegrino
Publication date: 17 October 2007
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.4171
\((pholomorphy typesq)\)-summing polynomialsq)\)-summing mappingsstrongly \((pstrongly check summing polynomialsstrongly fully \((p
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)
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Cites Work
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- Multiple summing operators on Banach spaces.
- Strongly almost summing holomorphic mappings.
- On ideals of polynomials and multilinear mappings between Banach spaces
- Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
- Strongly \(p\)-summing multilinear operators.
- Multiple summing operators on \(C(K)\) spaces
- Absolutely summing polynomials on Banach spaces with unconditional basis
- Two new properties of ideals of polynomials and applications
- Estimates for absolutely summing norms of polynomials and multilinear maps
- Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces
- Fully summingmultilinear and holomorphicmappings into Hilbert spaces
- Scalar-valued dominated polynomials on Banach spaces
- Cotype and Nonlinear Absolutely Summing Mappings
- Holomorphy types and ideals of multilinear mappings
- Cotype and absolutely summing homogeneous polynomials in Lpspaces
- Multilinear extensions of Grothendieck's theorem
- The inclusion theorem for multiple summing operators
- On scalar-valued nonlinear absolutely summing mappings
- Absolutely summing operators in $ℒ_{p}$-spaces and their applications