Results 101 to 110 of about 581 (209)
Randomized Subspace Iteration: Analysis of Canonical Angles and Unitarily Invariant Norms [PDF]
, 2019 Arvind K. Saibaba
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Normal derivations in norm ideals
, 1995 We establish the orthogonality of the range and the kernel of a normal derivation with respect to the unitarily invariant norms associated with norm ideals of operators. Related orthogonality results for certain nonnormal derivations are also given.
Fuad Kittaneh
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Norm equalities and inequalities for operator matrices
, 2008 Several norm equalities and inequalities for operator matrices are proved in this paper. These results, which depend on the structure of circulant and skew circulant operator matrices, include pinching type inequalities for weakly unitarily invariant ...
Bani-Domi, Wathiq, Kittaneh, Fuad
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Some Norm Inequalities for Operators
, 1999 Let Ai , Bi and Xi (i = 1, 2,…,n) be operators on a separable Hilbert space. It is shown that if f and g are nonnegative continuous functions on [0, ∞) which satisfy the relation f(t)g(t) = t for all t in [0, ∞), thenfor every r > 0 and for every ...
Fuad Kittaneh
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Norm inequalities for positive operators
, 1998 Let A, B be positive operators on a Hilbert space, z any complex number, m any positive integer, and |||.||| |||.||| " align="middle" border="0"> any unitarily invariant norm.
Bhatia, Rajendra, Kittaneh, Fuad
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Exposed faces and duality for symmetric and unitarily invariant norms
, 1994 Let ψ be a unitarily invariant norm on the space of (real or complex) n×m matrices, and g the associated symmetric gauge function: thus ψ(A)g(s(A)), where s(A) is the decreasing sequence of singular values of A. Denote by Bψ and Bg the closed unit balls
de Sá, Eduardo Marques
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The Frobenius norm and the commutator
, 2008 In an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of two matrices. This conjecture was recently proved by Seak-Weng Vong and Xiao-Qing Jin and independently also by Zhiqin Lu.
Wenzel, David, Böttcher, Albrecht
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Restrictions to invariant subspaces of composition operators on the Hardy space of the disk
, 2013 Invariant subspaces are a natural topic in linear algebra and operator theory. In some rare cases, the restrictions of operators to different invariant subspaces are unitarily equivalent, such as certain restrictions of the unilateral shift on the Hardy ...
Thompson, Derek Allen
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Unitarily invariant norm inequalities for operators [PDF]
, 2011 Mohsen Erfanian Omidvar +2 more
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G-invariant norms and G(c)-radii
, 1991 Let V be a finite dimensional inner product space over F(=R or C), and let G be a closed subgroup of the group of unitary operators on V. A norm or a seminorm ∥·∥ on V is said to be G-invariant if {norm of matrix}g(x){norm of matrix}=∥x∥ for all g ε ...
Li, Chi-Kwong +3 more
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