Results 41 to 50 of about 579 (72)
Demonstratio MathematicaIf T1{{\mathbb{T}}}_{1} and T2{{\mathbb{T}}}_{2} are commuting dd-tuples of Hilbert space operators in B(ℋ)dB{\left({\mathcal{ {\mathcal H} }})}^{d} such that (T1*⊗I+I⊗T2*,T1⊗I+I⊗T2)\left({{\mathbb{T}}}_{1}^{* }\otimes I+I\otimes {{\mathbb{T}}}_{2}^{* },{
Duggal Bhagwati Prashad, Kim In Hyoun
doaj +1 more source
On the triviality of domains of powers and adjoints of closed operators
, 2018 The paper is devoted to counterexamples involving the triviality of domains of products and/or adjoints of densely defined ...
Mortad, Mohammed Hichem
core +1 more source
Some orthogonality equation with two functions
, 2017 The aim of this paper is to describe the solution .f;g/ of the equation hf .x/jf .y/i D hg.x/jyi ; x;y 2X; where f WX ! Y , gWX !X , X;Y are inner product spaces over the same field K 2 fR;Cg.
Radoslaw Lukasik
semanticscholar +1 more source
The invertibility for linear combinations of bounded linear operators with closed range
, 2017 In this paper, it is given that the sufficient and necessary conditions for the invertibility of linear combinations of bounded linear operators with closed range. Furthermore, some related results are obtained. Mathematics subject classification (2010):
Guojun Hai, C. Bao, Alatancang Chen
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A new extended Mulholland's inequality involving one partial sum
Open MathematicsBy using the weight coefficients and the techniques of real analysis, a new extended Mulholland’s inequality with multi-parameters involving one partial sum is given. The equivalent statements of the best value related to several parameters are provided.
Peng Ling, Yang Bicheng
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On some characterizations of the partial orderings for bounded operators
, 2012 In this paper, we investigate some common characterizations and various individual properties of the star ordering, the left star ordering, the right star ordering and the minus partial ordering of bounded operators on a Hilbert space.
Chunyan Deng, Shun-Hwa Wang
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On different concepts of closedness of linear operators
, 2014 The purpose of this paper is to introduce, by means of the extensions of almost closed operators, the notion of almost closable linear operator acting in a Hilbert or Banach space.
Sanaa Messirdi +2 more
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Further results on generalized Bott-Duffin inverses
, 2013 Let A be a bounded linear operator, PM be an orthogonal projection with range M and PM ,N be an idempotent with range M and kernel N . This paper presents some novel relations between Bott-Duffin inverse AM = PM (APM + PM⊥) + and generalized Bott-Duffin ...
Chunyan Deng, H. Du
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Spectral properties of normal operators having symmetries arising from conjugations
, 2014 We study the consequences of equations such as AB = BA and AB = BA∗ on the spectrum of B when A is a normal operator that is real or complex skew-symmetric.
G. Goodson
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On the polar decomposition of the Duggal transformation and related results
, 2009 Let T = U |T | be the polar decomposition of a bounded operator T on a Hilbert space. The transformation Δ(T ) = |T |1/2U |T |1/2 is called the Aluthge transformation, and Γ(T ) = |T |U is called the Duggal transformation of T.
Saji K. Mathew, M. Balasubramani
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