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The similarity degree . . .
, 1997
"... Let A be a unital operator algebra. Let us assume that every bounded unital homomorphism u: A → B(H) is similar to a contractive one. Let Sim(u) = inf{‖S ‖ ‖S −1 ‖} where the infimum runs over all invertible operators S: H → H such that the “conjugate ” homomorphism a → S −1 u(a)S is contractive. ..."
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the similarity degree of A) and (∗) still holds for some K when α = d(A). Among the applications of these results, we give new characterizations of proper uniform algebras on one hand, and of nuclear C ∗algebras on the other. Moreover, we obtain a characterization of amenable groups which answers (at least
Remarks on the similarity degree . . .
, 2000
"... The “similarity degree of a unital operator algebra A was defined and studied in two recent papers of ours, where in particular we showed that it coincides with the “length ” of an operator algebra. This paper brings several complements: we give direct proofs (with slight improvements) of several k ..."
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The “similarity degree of a unital operator algebra A was defined and studied in two recent papers of ours, where in particular we showed that it coincides with the “length ” of an operator algebra. This paper brings several complements: we give direct proofs (with slight improvements) of several
A similarity degree characterization of . . .
, 2004
"... We show that a C ∗algebra A is nuclear iff there is a constant K and α < 3 such that, for any bounded homomorphism u: A → B(H), there is an isomorphism ξ: H → H satisfying ‖ξ −1 ‖‖ξ ‖ ≤ K‖u ‖ α and such that ξ −1 u(.)ξ is a ∗homomorphism. In other words, an infinite dimensional A is nuclear if ..."
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iff its length (in ths sense of our previous work on the Kadison similarity problem) is equal to 2.
A similarity degree . . .
, 2005
"... We show that a C ∗algebra A is nuclear iff there is a number α < 3 and a constant K such that, for any bounded homomorphism u: A → B(H), there is an isomorphism ξ: H → H satisfying ‖ξ −1 ‖‖ξ ‖ ≤ K‖u ‖ α and such that ξ −1 u(.)ξ is a ∗homomorphism. In other words, an infinite dimensional A is n ..."
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is nuclear iff its length (in the sense of our previous work on the Kadison similarity problem) is equal to 2.
A similarity degree . . .
, 2004
"... We show that a C∗algebra A is nuclear iff there is a number α < 3 and a constant K such that, for any bounded homomorphism u: A → B(H), there is an isomorphism ξ: H → H satisfying ‖ξ −1 ‖‖ξ ‖ ≤ K‖u ‖ α and such that ξ −1 u(.)ξ is a ∗homomorphism. In other words, an infinite dimensional A is nu ..."
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is nuclear iff its length (in the sense of our previous work on the Kadison similarity problem) is equal to 2.
Selfsimilarity degree of deformed statistical
, 810
"... We consider selfsimilar statistical ensembles with the phase space whose volume is invariant under the deformation that squeezes (expands) the coordinate and expands (squeezes) the momentum. Related probability distribution function is shown to possess a discrete symmetry with respect to manifold a ..."
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action of the Jackson derivative to be a homogeneous function with a selfsimilarity degree q fixed by the condition of invariance under (n + 1)fold action of the dilatation operator related. In slightly deformed phase space, we find the homogeneous function is defined with the linear dependence at n
Attention, similarity, and the identificationCategorization Relationship
, 1986
"... A unified quantitative approach to modeling subjects ' identification and categorization of multidimensional perceptual stimuli is proposed and tested. Two subjects identified and categorized the same set of perceptually confusable stimuli varying on separable dimensions. The identification dat ..."
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Cited by 663 (28 self)
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), assumes that subjects store category exemplars in memory. Classification decisions are based on the similarity of stimuli to the stored exemplars. It is assumed that the same multidimensional perceptual representation underlies performance in both the identification and Categorization paradigms. However
similar degree of cardioprotection but distinct mechanisms
, 2012
"... pe ri m en ta lP hy si ol og y ..."
Semantic similarity based on corpus statistics and lexical taxonomy
 Proc of 10th International Conference on Research in Computational Linguistics, ROCLING’97
, 1997
"... This paper presents a new approach for measuring semantic similarity/distance between words and concepts. It combines a lexical taxonomy structure with corpus statistical information so that the semantic distance between nodes in the semantic space constructed by the taxonomy can be better quantifie ..."
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Cited by 852 (0 self)
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This paper presents a new approach for measuring semantic similarity/distance between words and concepts. It combines a lexical taxonomy structure with corpus statistical information so that the semantic distance between nodes in the semantic space constructed by the taxonomy can be better
Results 1  10
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2,829,050