Results 31 to 40 of about 126 (60)

A comparison between the max and min norms on C∗(Fn)⊗C∗(Fn). [PDF]

, 2004
. Let Fn, n > 2, be the free group on n generators, denoted by U1,U2, . . . ,Un. Let C¤(Fn) be the full C¤-algebra of Fn. Let X be the vector subspace of the algebraic tensor product C(Fn) ­ C¤(Fn), spannedby 1 ­ 1,U1 ­ 1, . . . ,Un ­ 1, 1 ­ U1, . . . ,
Radulescu, F
core  

Characterizations of Ordered Self-adjoint Operator Spaces

, 2016
In this paper, we generalize the work of Werner and others to develop two abstract characterizations for self-adjoint operator spaces. The corresponding abstract objects can be represented as self-adjoint subspaces of $B(H)$ in such a way that both a ...
Russell, Travis
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Contractive and completely contractive modules, matricial tangent vectors and distance decreasing metrics [PDF]

, 1990
It is shown that a tangent vector v in TωΩ determines a finite dimensional Hilbert module over H∞ (Ω) and that the module is contractive if and only if CΩω(v), the Caratheodory length of v, is less or equal to one.
Misra, Gadadhar, Pati, Vishwambhar
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Unbounded bivariant K-theory and an approach to noncommutative Fréchet spaces [PDF]

, 2011
In the current work we thread the problems of smoothness in non-commutative $C^*$-algebras arising form the Baaj-Julg picture of the $KK$-theory. We introduce the notion of smoothness based on the pre-$C^*$-subalgebras of $C^*$-algebras endowed with the ...
Ivankov, N.
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Arveson's extension theorem in *-algebras

, 2013
Arveson's extension theorem asserts that B(H) is an injective object in the category of operator systems. Calling every self adjoint unital subspace of a unital *-algebra, a quasi operator system, we show that Arveson's theorem remains valid in the much ...
Esslamzadeh, G. H., Turowska, L.
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On the Minimum of a Positive Definite Quadratic Form over Non--Zero Lattice points. Theory and Applications [PDF]

, 2016
Let $\Sigma_d^{++}$ be the set of positive definite matrices with determinant 1 in dimension $d\ge 2$. Identifying any two $SL_d(\mathbb{Z})$-congruent elements in $\Sigma_d^{++}$ gives rise to the space of reduced quadratic forms of determinant one ...
Adiceam, Faustin, Zorin, Evgeniy
core   +2 more sources

Extreme points of matrix convex sets and their spanning properties

This expository article gives a survey of matrix convex sets, a natural generalization of convex sets to the noncommutative (dimension-free) setting, with a focus on their extreme points.
Evert, Eric, Passer, Benjamin, Štrekelj, Tea   +2 more
core  

Hyers-Ulam stability of functional equations in matrix normed spaces [PDF]

core   +1 more source

Splitting of the Hochschild cohomology of von Neumann algebras [PDF]

, 2000
Drivaliaris, Dimosthenis
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$L^p$-matricially normed spaces and operator space valued Schatten spaces

Indiana University Mathematics Journal, 2007
Let 1 < p < ∞ and let F be an operator space. Let S p k [F] be Pisier's operator space valued Schatten space, for any integer k ≥ 1. Then F equipped with the matrix norms given by the S p k [F]'s is an L p -matricially normed space. We show that if p ≠ 1, not all L p -matricially normed spaces are of this form.
Le Merdy, Christian, Mezrag, Lahcène, Junge, Marius   +2 more
openaire   +1 more source