Results 1 to 10 of about 277 (48)
, 2013 We introduce the new notion of general bilinear forms (generalizing sesquilinear forms) and prove that for every ring $R$ (not necessarily commutative, possibly without involution) and every right $R$-module $M$ which is a generator (i.e.
First, Uriya Aharon
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Grassmann embeddings of polar Grassmannians [PDF]
, 2019 In this paper we compute the dimension of the Grassmann embeddings of the polar Grassmannians associated to a possibly degenerate Hermitian, alternating or quadratic form with possibly non-maximal Witt index.
Cardinali, Ilaria +2 more
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Orthogonal forms and orthogonality preservers on real function algebras [PDF]
, 2013 We initiate the study of orthogonal forms on a real C$^*$-algebra. Motivated by previous contributions, due to Ylinen, Jajte, Paszkiewicz and Goldstein, we prove that for every continuous orthogonal form $V$ on a commutative real C$^*$-algebra, $A ...
Antonio, Jorge J. Garcés, M. Peralta
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On the complete boundedness of the Schur block product [PDF]
, 2018 We give a Stinespring representation of the Schur block product, say (*), on pairs of square matrices with entries in a C*-algebra as a completely bounded bilinear operator of the form: A:=(a_{ij}), B:= (b_{ij}): A (*) B := (a_{ij}b_{ij}) = V* pi(A) F pi(
Christensen, Erik
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Weakly compact operators and the strong* topology for a Banach space [PDF]
, 2010 Peer reviewedPublisher ...
Peralta, Antonio M +3 more
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Structured conditioning of matrix functions [PDF]
, 2004 . The existing theory of conditioning for matrix functions f(X): C n×n → C n×n does not cater for structure in the matrix X. An extension of this theory is presented in which when X has structure, all perturbations of X are required to have the same ...
Philip I. Davies
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Rigid C^*-tensor categories of bimodules over interpolated free group factors [PDF]
, 2012 Given a countably generated rigid C^*-tensor category C, we construct a planar algebra P whose category of projections Pro is equivalent to C. From P, we use methods of Guionnet-Jones-Shlyakhtenko-Walker to construct a rigid C^*-tensor category Bim whose
Arnaud Brothier +10 more
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Tensor Constructions of Open String Theories I: Foundations
, 1997 The possible tensor constructions of open string theories are analyzed from first principles. To this end the algebraic framework of open string field theory is clarified, including the role of the homotopy associative A_\infty algebra, the odd ...
Albert +31 more
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Connections on central bimodules
, 1995 We define and study the theory of derivation-based connections on a recently introduced class of bimodules over an algebra which reduces to the category of modules whenever the algebra is commutative. This theory contains, in particular, a noncommutative
Cartan +18 more
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Matrix elements and duality for type 2 unitary representations of the Lie superalgebra gl(m|n) [PDF]
, 2015 The characteristic identity formalism discussed in our recent articles is further utilized to derive matrix elements of type 2 unitary irreducible $gl(m|n)$ modules. In particular, we give matrix element formulae for all gl(m|n) generators, including the
Gould, Mark D. +2 more
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