Results 51 to 60 of about 2,364 (134)
Definition and Computation of Tensor‐Based Generalized Function Composition
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three
, 2016 Given a positive integer d, the Kaplansky-Lvov conjecture states that the set of values of a multilinear noncommutative polynomial f on the matrix algebra M_d(C) is a vector subspace.
Dykema, Kenneth J., Klep, Igor
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Two-weight inequalities for multilinear commutators
, 2017 We prove Bloom type two-weight inequalities for commutators of multilinear singular integral operators including Calderón-Zygmund operators and their dyadic counterparts. Such estimates are further extended to a general higher order multilinear setting. The proof involves a pointwise sparse domination of multilinear commutators.
Kunwar, Ishwari, Ou, Yumeng
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Jordan homomorphisms and T‐ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
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The GJMS operators in geometry, analysis and physics
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The GJMS operators, introduced by Graham, Jenne, Mason and Sparling, are a family of conformally invariant linear differential operators with leading term a power of the Laplacian. These operators and their method of construction have had a major impact in geometry, analysis and physics.
Jeffrey S. Case, A. Rod Gover
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On the image of a noncommutative polynomial
, 2013 Let $F$ be an algebraically closed field of characteristic zero. We consider the question which subsets of $M_n(F)$ can be images of noncommutative polynomials. We prove that a noncommutative polynomial $f$ has only finitely many similarity orbits modulo
Špenko, Špela
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Weighted Inequalities for Multilinear Potential Operators and their Commutators
Potential Analysis, 2010 The authors prove weighted strong inequalities for the multilinear potential operators \[ T_{\phi}(\vec f)(x)=\int_{(\mathbb R^n)^m} \phi(x-y_1,\dots,x-y_m)\prod_{i=1}^m f_i(y_i) \,d\vec y \] and the commutators \[ T_{\vec b,\phi}(\vec f)(x)=\sum_{j=1}^m T_{b_j,\phi}(\vec f)(x), \] where \(\phi\) is a nonnegative function defined on \((\mathbb R^n)^m\)
Bernardis-Medici, Ana Lucía +2 more
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Representation of Multilinear Mappings and s‐Functional Inequality
Journal of Mathematics, Volume 2026, Issue 1, 2026.In the current research, we introduce the multilinear mappings and represent the multilinear mappings as a unified equation. Moreover, by applying the known direct (Hyers) manner, we establish the stability (in the sense of Hyers, Rassias, and Găvruţa) of the multilinear mappings, associated with the single multiadditive functional inequality.
Abasalt Bodaghi, Pramita Mishra
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Sharp Function Estimates for Vector-Valued Multilinear Operator of Multiplier Operator [PDF]
, 2008 In this paper, we establish a sharp function estimate for the vector-valued multilinear operator of the ...
Liu, Lanzhe
core
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
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