Weyl's theorem for complex symmetric operators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.02.031
Abstract: Abstract An operator on Hilbert space is complex symmetric if it can be represented as a symmetric matrix relative to some orthonormal basis of the space. It is proved in this paper that each complex… read more here.
Keywords: weyl theorem; theorem complex; symmetric operators; symmetric ... See more keywords
A class of complex symmetric Toeplitz operators on Hardy and Bergman spaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124173
Abstract: Abstract An operator T ∈ B ( H ) is complex symmetric if there exists a conjugation C on H so that C T C = T ⁎ . In this paper, we characterize the… read more here.
Keywords: symmetric; hardy bergman; symmetric toeplitz; operator ... See more keywords
Extension of the notion of P-symmetric operators using the Aluthge transform I
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DOI: 10.2298/fil2416669e
Abstract: The class of ?P-symmetric operators is introduced. Certain properties of this class of operators are obtained. Among other things, it is shown that (1) This class includes the quasinormal operators, isometries, co-isometries, partial isometries with… read more here.
Keywords: symmetric; extension notion; notion symmetric; using aluthge ... See more keywords