Skew complex symmetric operators and Weyl type theorems

Eungil Ko; Eunjeong Ko; Ji Eun Lee

doi:10.4134/BKMS.2015.52.4.1269

Skew complex symmetric operators and Weyl type theorems

Eungil Ko
, Eunjeong Ko
, Ji Eun Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

An operator T Є L(H) is said to be skew complex symmetric if there exists a conjugation C on H such that T = −CT*C. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.

Original language	English
Pages (from-to)	1269-1283
Number of pages	15
Journal	Bulletin of the Korean Mathematical Society
Volume	52
Issue number	4
DOIs	https://doi.org/10.4134/BKMS.2015.52.4.1269
State	Published - 29 Jul 2015

Bibliographical note

Publisher Copyright:
© 2015 Korean Mathematical Society.

Keywords

Skew complex symmetric operator
Subspace-hypercyclicity
Weyl type theorems

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10.4134/BKMS.2015.52.4.1269

Cite this

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abstract = "An operator T Є L(H) is said to be skew complex symmetric if there exists a conjugation C on H such that T = −CT*C. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.",

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AU - Lee, Ji Eun

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N2 - An operator T Є L(H) is said to be skew complex symmetric if there exists a conjugation C on H such that T = −CT*C. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.

AB - An operator T Є L(H) is said to be skew complex symmetric if there exists a conjugation C on H such that T = −CT*C. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.

KW - Skew complex symmetric operator

KW - Subspace-hypercyclicity

KW - Weyl type theorems

UR - https://www.scopus.com/pages/publications/84938088643

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JF - Bulletin of the Korean Mathematical Society

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Skew complex symmetric operators and Weyl type theorems

Abstract

Bibliographical note

Keywords

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