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OPERATOR NORMS OF WORDS FORMED FROM
, 2009
"... Operator norms of words formed from positivedefinite matrices ..."
Real and Complex Operator Norms
, 2004
"... monotone norm, norm extension, convex function, integral inequalities. AMS subject classification. 47B37, 47B38, 47B65, 46E30, 47A30, 15A04, 15A60. Real and complex norms of a linear operator acting on a normed complexified space are considered. Bounds on the ratio of these norms are given. The real ..."
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monotone norm, norm extension, convex function, integral inequalities. AMS subject classification. 47B37, 47B38, 47B65, 46E30, 47A30, 15A04, 15A60. Real and complex norms of a linear operator acting on a normed complexified space are considered. Bounds on the ratio of these norms are given
OPERATOR NORM INEQUALITIES OF MINKOWSKI TYPE
, 2008
"... ABSTRACT. Operator norm inequalities of Minkowski type are presented for unitarily invariant norm. Some of these inequalities generalize an earlier work of Hiai and Zhan. ..."
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Cited by 5 (1 self)
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ABSTRACT. Operator norm inequalities of Minkowski type are presented for unitarily invariant norm. Some of these inequalities generalize an earlier work of Hiai and Zhan.
Metric sparsification and operator norm localization
 Adv. Math
"... We study an operator norm localization property and its applications to the coarse Novikov conjecture in operator Ktheory. A metric space X is said to have operator norm localization property if there exists 0 < c ≤ 1 such that for every r> 0, there is R> 0 for which, if ν is a positive lo ..."
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Cited by 12 (3 self)
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We study an operator norm localization property and its applications to the coarse Novikov conjecture in operator Ktheory. A metric space X is said to have operator norm localization property if there exists 0 < c ≤ 1 such that for every r> 0, there is R> 0 for which, if ν is a positive
Notes on superoperator norms induced by Schatten norms
, 2004
"... Let \Phi be a superoperator, i.e., a linear mapping of the form \Phi : L(F) ! L(G) for finite dimensionalHilbert spaces F and G. This paper considers basic properties of the superoperator norms defined by k\Phi kq!p = supfk\Phi (X)kp=kXkq: X 6 = 0g, induced by Schatten norms for 1 ^ p; q ^ 1. The ..."
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Cited by 23 (1 self)
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Let \Phi be a superoperator, i.e., a linear mapping of the form \Phi : L(F) ! L(G) for finite dimensionalHilbert spaces F and G. This paper considers basic properties of the superoperator norms defined by k\Phi kq!p = supfk\Phi (X)kp=kXkq: X 6 = 0g, induced by Schatten norms for 1 ^ p; q ^ 1
Ktheory for operator algebras
 Mathematical Sciences Research Institute Publications
, 1998
"... p. XII line5: since p. 12: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The RieszFischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
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Cited by 558 (0 self)
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space is not σfinite. p. 13: add after I.2.6.16: I.2.6.17. If X is a compact subset of C not containing 0, and k ∈ N, there is in general no bound on the norm of T −1 as T ranges over all operators with ‖T ‖ ≤ k and σ(T) ⊆ X. For example, let Sn ∈ L(l 2) be the truncated shift: Sn(α1, α2,...) = (0
OperatorNorm Approximation Of Semigroups By Sectorial Contractions
"... We extend the Cherno theory for approximation of contraction semigroups a la Trotter. We show that the TrotterNeveuKato convergence theorem holds in operator norm for a family of uniformly msectorial generators in a Hilbert space. Then we obtain a Chernotype approximation theorem for sectorial c ..."
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We extend the Cherno theory for approximation of contraction semigroups a la Trotter. We show that the TrotterNeveuKato convergence theorem holds in operator norm for a family of uniformly msectorial generators in a Hilbert space. Then we obtain a Chernotype approximation theorem for sectorial
A few remarks on the operator norm of random Toeplitz
, 2008
"... We present some results concerning the almost sure behaviour of the operator norm or random Toeplitz matrices, including the law of large numbers for the norm, normalized by its expectation (in the i.i.d. case). As tools we present some concentration inequalities for suprema of empirical processes, ..."
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We present some results concerning the almost sure behaviour of the operator norm or random Toeplitz matrices, including the law of large numbers for the norm, normalized by its expectation (in the i.i.d. case). As tools we present some concentration inequalities for suprema of empirical processes
The Hadamard Operator Norm Of A Circulant And Applications
 SIAM J. Matrix Anal. Appl
, 1997
"... . Let Mn be the space of n \Theta n complex matrices and let k \Delta k 1 denote the spectral norm. Given matrices A = [a ij ] and B = [b ij ] of the same size we define their Hadamard product to be A ffi B = [a ij b ij ]. We define the Hadamard operator norm of A 2 Mn by jjjAjjj 1 = maxfkA ffi B ..."
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Cited by 12 (3 self)
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. Let Mn be the space of n \Theta n complex matrices and let k \Delta k 1 denote the spectral norm. Given matrices A = [a ij ] and B = [b ij ] of the same size we define their Hadamard product to be A ffi B = [a ij b ij ]. We define the Hadamard operator norm of A 2 Mn by jjjAjjj 1 = maxfkA ffi
Results 1  10
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