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Interpolation of compact bilinear operators [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is devoted to the study of the stability of the compactness property of bilinear operators acting on the products of interpolated Banach spaces.
Mieczysław Mastyło, Eduardo B. Silva
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Interpolation of bilinear operators and compactness [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2012 The behavior of bilinear operators acting on interpolation of Banach spaces for the $\rho$ method in relation to the compactness is analyzed. Similar results of Lions-Peetre, Hayakawa and Person's compactness theorems are obtained for the bilinear case ...
D. L. Fernandez, Da Silva, E. Brandani
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A compactness result of Janson type for bilinear operators [PDF]
Journal of Mathematical Analysis and Applications, 2021 We establish a compactness interpolation result for bilinear operators of the type proved by Janson for bounded bilinear operators. We also give an application to compactness of convolution operators.
Cobos Díaz, Fernando +2 more
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Mathematics, 2021 In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator T:E×F→W defined on the Cartesian product of vector lattices E and F and taking values in a vector lattice W is narrow if ...
Marat Pliev +2 more
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Extrapolation of compactness on weighted spaces: Bilinear operators
Indagationes Mathematicae, 2022 v3: final version, incorporated referee comments, to appear in Indagationes Mathematicae, 27 ...
Tuomas Hytönen, Stefanos Lappas
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On interpolation of weakly compact bilinear operators
Mathematische Nachrichten, 2022 AbstractWe study the interpolation properties of weakly compact bilinear operators by the real method and also by the complex method. We also study the factorization property of weakly compact bilinear operators through reflexive Banach spaces.
Cobos Díaz, Fernando +2 more
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Compact bilinear operators and commutators [PDF]
Proceedings of the American Mathematical Society, 2013 A notion of compactness in the bilinear setting is explored. Moreover, commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace of the space of functions of bounded mean oscillations are shown to be compact.
Bényi, Árpád, Torres, Rodolfo H.
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On compactness results of Lions–Peetre type for bilinear operators [PDF]
Nonlinear Analysis, 2020 Agencia Estatal de Investigación | Ref.
Fernando Cobos +2 more
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Compact bilinear operators on asymmetric normed spaces [PDF]
Topology and its Applications, 2022 The paper is concerned with compact bilinear operators on asymmetric normed spaces. The study of multilinear operators on asymmetric normed spaces was initiated by Latreche and Dahia, Colloq. Math. (2020). We go further in this direction and prove a Schauder type theorem on the compactness of the adjoint of a compact bilinear operator and study the ...
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Topological gauging and double current deformations
Journal of High Energy Physics, 2023 We study solvable deformations of two-dimensional quantum field theories driven by a bilinear operator constructed from a pair of conserved U(1) currents J a .
Sergei Dubovsky +2 more
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