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The sum of unitary similarity orbits containing only special operators
Poon, Yiu-Tung Li, Chi-Kwong
Poon, Yiu-Tung
Li, Chi-Kwong
Abstract
Let B(H) be the algebra of bounded linear operator acting on a Hilbert space H (over the complex or real Held). Characterization is given to A(1), ... , A(k) is an element of B(H) such that for any unitary operators U(1), ... , U(k), Sigma(k)(j=1) U(j)*A(j)U(j) is always in a special class S of operators such as normal operators, self-adjoint operators, unitary operators. As corollaries, characterizations are given to A is an element of B(H) such that complex, real or nonnegative linear combinations of operators in its unitary orbit u(A) = {U*AU : Uunitary} always lie in S. (c) 2009 Elsevier Inc. All rights reserved.
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2009-01-01
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The_sum_of_unitary.pdf
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Mathematics
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10.1016/j.laa.2009.03.010