Summing multilinear operators and sequence classes

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Cites Work

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Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators
Type and cotype of multilinear operators
Composition results for strongly summing and dominated multilinear operators
Optimal Hardy-Littlewood type inequalities for $m$-linear forms on $\ell_{p}$ spaces with ${1\leq p\leq m}$
Operator ideals related to absolutely summing and Cohen strongly summing operators
Every Banach ideal of polynomials is compatible with an operator ideal
Multiple summing maps: coordinatewise summability, inclusion theorems and $p$-Sidon sets
Holomorphic functions and polynomial ideals on Banach spaces
Strongly mixing convolution operators on Fréchet spaces of entire functions of a given type and order
On the Cohen strongly $p$-summing multilinear operators
Coordinatewise multiple summing operators in Banach spaces
Inclusion theorems for Cohen strongly summing multilinear operators
On ideals of polynomials and multilinear mappings between Banach spaces
Some applications of the Hölder inequality for mixed sums
Hölder's inequality: some recent and unexpected applications
On summability of multilinear operators and applications
Fully, absolutely summing and Hilbert-Schmidt multilinear mappings
Dynamics of non-convolution operators and holomorphy types
The closed graph theorem for multilinear mappings
Sharp anisotropic Hardy-Littlewood inequality for positive multilinear forms
A note on the symmetry of sequence spaces
On coincidence results for summing multilinear operators: interpolation, $\ell_1$-spaces and cotype
Summing multilinear operators by blocks: the isotropic and anisotropic cases
Summability and estimates for polynomials and multilinear mappings
Generalized multiple summing multilinear operators on Banach spaces
On the transformation of vector-valued sequences by linear and multilinear operators
Optimal exponents for Hardy-Littlewood inequalities for $m$-linear operators
Mixing multilinear operators
Sharp generalizations of the multilinear Bohnenblust-Hille inequality
On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility
Fully and strongly almost summing multilinear mappings
Absolutely summing multilinear operators via interpolation
Unbounded violation of tripartite Bell inequalities
Some applications of hypercontractive inequalities in quantum information theory
On almost summing polynomials and multilinear mappings
Factorization of strongly (p,σ)-continuous multilinear operators
Coincidence Results for Summing Multilinear Mappings
Fully summingmultilinear and holomorphicmappings into Hilbert spaces
Chaos for convolution operators on the space of entire functions of infinitely many complex variables
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
Anisotropic regularity principle in sequence spaces and applications
A note on multiple summing operators and applications
Diagonal multilinear operators on Köthe sequence spaces
Multilinear extensions of Grothendieck's theorem
Hypercyclic behavior of some non-convolution operators on $H(\mathbf{C}^N)$
Coherence and compatibility: a stronger approach
An anisotropic approach to mid summable sequences
Operators with the Maurey–Pietsch multiple splitting property
Cohen and multiple Cohen strongly summing multilinear operators
AN OPERATOR SUMMABILITY OF SEQUENCES IN BANACH SPACES
Almost $p$-summing polynomials and multilinear mappings
Complete latticeability in vector‐valued sequence spaces

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