Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators [PDF]
The Quarterly Journal of Mathematics, 2010 We study tensor norms that destroy unconditionality in the following sense: for every Banach space $E$ with unconditional basis, the $n$-fold tensor product of $E$ (with the corresponding tensor norm) does not have unconditional basis.
Carando, Daniel, Galicer, Daniel
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Hyper-ideals of Multilinear Operators and Two-Sided Polynomial Ideals Generated by Sequence Classes
Mediterranean Journal of Mathematics, 2022 15 ...
Botelho, Geraldo, Wood, Raquel
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Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators [PDF]
Israel Journal of Mathematics, 2015 In this paper we obtain quite general and definitive forms for Hardy-Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides much simpler and straightforward proofs and we are able to show that in most cases the exponents involved are optimal.
Albuquerque, N. +3 more
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Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2015 D. Pellegrino acknowledges with thanks the support of CNPq Grant 401735/2013-3-PVE (Linha 2)-Brazil. P. Rueda acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2011-22417. E. A. Sanchez Perez acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2012-36740-C02-02.
Pellegrino, Daniel +2 more
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Bohnenblust-Hille inequalities: analytical and computational aspects
Anais da Academia Brasileira de Ciências, 2018 The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors.
WASTHENNY V. CAVALCANTE +1 more
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Splitting of operations for alternative and Malcev structures [PDF]
, 2015 In this paper we define pre-Malcev algebras and alternative quadri-algebras and prove that they generalize pre-Lie algebras and quadri-algebras respectively to the alternative setting.
Madariaga, Sara
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An invariant subspace problem for multilinear operators on Banach spaces and algebras
Journal of Inequalities and Applications, 2016 This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
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A Lindenstrauss theorem for some classes of multilinear mappings [PDF]
, 2015 Under some natural hypotheses, we show that if a multilinear mapping belongs to some Banach multlinear ideal, then it can be approximated by multilinear mappings belonging to the same ideal whose Arens extensions simultaneously attain their norms.
Carando, D. +2 more
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Interpolating Binary and Multivalued Logical Quantum Gates
Proceedings, 2017 A method for synthesizing quantum gates is presented based on interpolation methods applied to operators in Hilbert space. Starting from the diagonal forms of specific generating seed operators with non-degenerate eigenvalue spectrum one obtains for ...
Zeno Toffano, François Dubois
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Quantum Query Complexity of Multilinear Identity Testing [PDF]
, 2008 Motivated by the quantum algorithm in \cite{MN05} for testing commutativity of black-box groups, we study the following problem: Given a black-box finite ring $R=\angle{r_1,...,r_k}$ where $\{r_1,r_2,...,r_k\}$ is an additive generating set for $R$ and a
Arvind, V., Mukhopadhyay, Partha
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