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Reducible and irreducible approximation of complex symmetric operators
Author(s) -
Liu Ting,
Zhao Jiayin,
Zhu Sen
Publication year - 2019
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms.12231
Subject(s) - mathematics , separable space , hilbert space , irreducible representation , pure mathematics , norm (philosophy) , irreducible element , set (abstract data type) , combinatorics , mathematical analysis , computer science , fundamental representation , lie algebra , weight , programming language , political science , law
This paper aims to study reducible and irreducible approximation in the set C S O of all complex symmetric operators on a separable, complex Hilbert space H . Whendim H = ∞ , it is proved that both those reducible ones and those irreducible ones are norm dense in C S O . Whendim H < ∞ , irreducible complex symmetric operators constitute an open, dense subset of C S O .
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