Open AccessCompact Operators on Hilbert Spaces
Author(s) -
Sara Nozari
Publication year - 2014
Publication title -
oalib
Language(s) - English
Resource type - Journals
eISSN - 2333-9721
pISSN - 2333-9705
DOI - 10.4236/oalib.1100853
Subject(s) - compact operator on hilbert space , hilbert space , nuclear operator , mathematics , pure mathematics , computer science , compact operator , finite rank operator , programming language , banach space , extension (predicate logic)
In this paper, we obtain some results on compact operators. More specially, we prove that if T is a unitary operator on a Hilbert space H, then it is compact if and only if H has a finite dimension. Also, we prove that, if H is a Hilbert space with Heine-Borel property, then K(H) = BL(H).
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