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ON ∞-COMPLEX SYMMETRIC OPERATORS

Part of: Special classes of linear operators General theory of linear operators

Published online by Cambridge University Press:  23 February 2017

MUNEO CHŌ ,
EUNGIL KO  and
JI EUN LEE
MUNEO CHŌ
Affiliation:
Department of Mathematics, Kanagawa University, Hiratsuka 259-1293, Japan e-mail: chiyom01@kanagawa-u.ac.jp
EUNGIL KO
Affiliation:
Department of Mathematics, Ewha Womans University, Seoul 120-750, Korea e-mail: eiko@ewha.ac.kr
JI EUN LEE
Affiliation:
Department of Mathematics-Applied Statistics, Sejong University, Seoul 143-747, Korea e-mail: jieun7@ewhain.net; jieunlee7@sejong.ac.kr
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Abstract

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In this paper, we study spectral properties and local spectral properties of ∞-complex symmetric operators T. In particular, we prove that if T is an ∞-complex symmetric operator, then T has the decomposition property (δ) if and only if T is decomposable. Moreover, we show that if T and S are ∞-complex symmetric operators, then so is T ⊗ S.

MSC classification

Primary: 47A11: Local spectral properties
Secondary: 47B25: Symmetric and selfadjoint operators (unbounded)
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 60 , Issue 1 , January 2018 , pp. 35 - 50
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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