The sum of unitary similarity orbits containing only special operators |
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Authors: | Chi-Kwong Li |
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Institution: | a Department of Mathematics, College of William & Mary, Williamsburg, VA 23185, USA b Department of Mathematics, Iowa State University, Ames, IA 50051, USA |
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Abstract: | Let B(H) be the algebra of bounded linear operator acting on a Hilbert space H (over the complex or real field). Characterization is given to A1,…,Ak∈B(H) such that for any unitary operators 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∈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. |
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Keywords: | 47B15 15A48 15A57 |
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