Open AccessA Generalization of the Fuglede-Putnam Theorem to Unbounded Operators
Author(s) -
Fotios C. Paliogiannis
Publication year - 2015
Publication title -
journal of operators
Language(s) - English
Resource type - Journals
eISSN - 2314-5064
pISSN - 2314-5072
DOI - 10.1155/2015/804353
Subject(s) - algorithm , artificial intelligence , computer science
Let N,M be unbounded normal operators in a Hilbert space and let T be a closed operator whose domain D(T) contains the domain of N, and the domain D(T*) contains the domain of M. It is shown that if TN⊆MT, then TN*⊆M*T
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