Journal
JOURNAL OF OPERATOR THEORY
Volume 72, Issue 2, Pages 529-547Publisher
THETA FOUNDATION
DOI: 10.7900/jot.2013aug15.2007
Keywords
Complex symmetric operator; transpose; UET operator; canonical decomposition; irreducible operator; completely reducible operator; Toeplitz operator
Categories
Funding
- NSFC
- Key Lab of Mathematics for Nonlinear Science (Fudan University)
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An operator Ton a complex Hilbert space H is said to be complex symmetric if there exists a conjugate-linear, isometric involution C : H -> H so that CTC = T*. In this paper, we obtain a canonical decomposition of complex symmetric operators. This result decomposes general complex symmetric operators into direct sums of three kinds of elementary ones.
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