scholarly journals Isometric dilations and von Neumann inequality for finite rank commuting contractions

2020 ◽  
Vol 165 ◽  
pp. 102915
Author(s):  
Sibaprasad Barik ◽  
B. Krishna Das ◽  
Jaydeb Sarkar
Keyword(s):  
Finite Rank ◽  
Von Neumann ◽  
Commuting Contractions

scholarly journals Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality

2009 ◽  
Vol 256 (9) ◽  
pp. 3035-3054 ◽  
Author(s):  
Anatolii Grinshpan ◽  
Dmitry S. Kaliuzhnyi-Verbovetskyi ◽  
Victor Vinnikov ◽  
Hugo J. Woerdeman
Keyword(s):  
Von Neumann ◽  
Commuting Contractions

scholarly journals Some singular values and unitarily invariant norm inequalities concerning generalized inverses

Filomat ◽  
2007 ◽  
Vol 21 (1) ◽  
pp. 99-111
Author(s):  
P.J. Maher
Keyword(s):  
Finite Rank ◽  
Singular Values ◽  
Generalized Inverses ◽  
Unitarily Invariant Norm ◽  
Norm Inequalities ◽  
Von Neumann ◽  
Finite Rank Operators ◽  
Invariant Norm

We sharpen and extend inequalities concerning generalized inverses previously obtained for the von Neumann-Schatten, and supremum, norms. We sharpen those inequalities to obtain corresponding inequalities for singular values Si(?) for i=1,2?; and we extend those inequalities, for finite rank operators, to inequalities for an arbitrary unitarily invariant norm.

The Weyl-Von Neumann Theorem for Multipliers Of Some Af-Algebras

1991 ◽  
Vol 43 (2) ◽  
pp. 322-330 ◽  
Author(s):  
Nigel Higson ◽  
Mikael Rørdam
Keyword(s):  
Hilbert Space ◽  
Finite Rank ◽  
Separable Hilbert Space ◽  
Adjoint Operator ◽  
Von Neumann ◽  
Neumann Theorem ◽  
Small Norm ◽  
Von Neumann Theorem ◽  
Af Algebras

A well known theorem of Weyl-von Neumann asserts that if X is a self-adjoint operator acting on a separable Hilbert space, then there is a decomposition 1 = Σ en of the identity into finite rank projections so that we may write X = Σ ƛnen + y, where the ƛnare scalars and y is a compact operator with small norm. In other words, X can be approximately diagonalized.

Lectures on von Neumann Algebras

2019 ◽  
Author(s):  
Serban-Valentin Stratila ◽  
Laszlo Zsido
Keyword(s):  
Von Neumann Algebras ◽  
Von Neumann

John von Neumann

2004 ◽  
Vol 174 (12) ◽  
pp. 1371 ◽  
Author(s):  
Mikhail I. Monastyrskii
Keyword(s):  
John Von Neumann ◽  
Von Neumann
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