The Putnam-Fuglede property for paranormal and ∗-paranormal operators
An operator \(T \in {\cal B}(H)\) is said to have the Putnam-Fuglede commutativity property (PF property for short) if \(T^*X = XJ\) for any \(X \in {\cal B}(K,H)\) and any isometry \(J \in {\cal B}(K)\) such that \(TX = XJ^*\). The main purpose of this paper is to examine if paranormal operators ha...
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Format: | Article |
Language: | English |
Published: |
AGH Univeristy of Science and Technology Press
2013-01-01
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Series: | Opuscula Mathematica |
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Online Access: | http://www.opuscula.agh.edu.pl/vol33/3/art/opuscula_math_3330.pdf |