Results 81 to 90 of about 22,049 (161)
Completely rank-nonincreasing multilinear maps
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Fully and Strongly Almost Summing Multilinear Mappings
The authors introduce the classes of strongly and fully almost summing multilinear mappings. These classes are closely associated with absolutely \((p;q_1,\dots, q_n)\)-summing, almost \((p_1,\dots,p_n)\)-summing, and fully \((p;q_1,\dots, q_n)\)-summing mappings, which have been explored by numerous authors.
Pellegrino, Daniel M. +1 more
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Multilinear mappings of nuclear and integral type [PDF]
We define vector-valued multilinear mappings of nuclear and integral type and establish conditions for its spaces to coincide.
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Developed matrix inequalities via positive multilinear mappings
Utilizing the notion of positive multilinear mappings, we give some matrix inequalities. In particular, Choi--Davis--Jensen and Kantorovich type inequalities including positive multilinear mappings are presented.
Mahdi Dehghani, Mohsen Kian, Yuki Seo
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Factorization ofp-completely bounded multilinear maps [PDF]
Given Banach spaces \(X_1,\dots, X_N\), \(Y_1,\dots, Y_N\), \(X\), \(Y\) and subspaces \(S_i\subset B(X_i, Y_i)\) \((1\leq i\leq N)\), we study \(p\)-completely bounded multilinear maps \(A: S_N\times\cdots\times S_1\to B(X, Y)\). We obtain a factorization theorem for such \(A\) which is entirely similar to the Christensen-Sinclair representation ...
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THE ADJOINT MAP AND DUAL MAP OF MULTILINEAR MAP
Let be the vector spaces and V_i^* be their dual spaces for 1≤i≤r . In this paper, (V_1×V_2×…×V_r )^*≅V_1^*×V_2^*×…×V_r^* is examined. Furthermore, the dual map F^* and the adjoint map F^' of the r-linear map F:V_1×V_2×…×V_r→W are defined and for their matrices, the equality [F^* ]=[F^' ]=[F ̅ ]^T is found.
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Factorization of positive multilinear maps
The author proves strong-type factorization theorems for positive multilinear operators with range in \(L_ q(X,\mu)\), \(q\geq 0\), with (X,\(\mu)\) a \(\sigma\)-finite measure space.
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Strong Homotopy Lie Algebras, Generalized Nahm Equations and Multiple M2-branes
We review various generalizations of the notion of Lie algebras, in particular those appearing in the recently proposed Bagger-Lambert-Gustavsson model, and study their interrelations.
Lazaroiu, Calin I. +3 more
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On orthosymmetric multilinear mappings
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Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Bremner MR, Brox J, Sánchez-Ortega J.
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