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SKEW COMPLEX SYMMETRIC OPERATORS AND WEYL TYPE THEOREMS

이지은|고은정|고응일
대한수학회 (The Korean Mathematical Society)|2015.07|대한수학회보 (Bulletin of the KMS)|제52권 제4호|pp. 1269-1283

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참고문헌

키워드

skew complex symmetric operatorsubspace-hypercyclicityWeyl type theorems
주제분류수학

초록

An operator T ∈ 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.

Abstract

An operator T ∈ 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.

참고문헌 (28)

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관련 논문AI추천

On operators T commuting with CTC where C is a conjugation고은길, Ji Eun Lee, Muneo Cho대한수학회 · 대한수학회보2020 · 제57권 제1호ON SKEW SYMMETRIC OPERATORS WITH EIGENVALUESSen Zhu대한수학회 · 대한수학회지2015 · 제52권 제6호THE RIESZ DECOMPOSITION THEOREM FOR SKEW SYMMETRIC OPERATORSJiayin Zhao, Sen Zhu대한수학회 · 대한수학회지2015 · 제52권 제2호Weyl Type Theorems for Unbounded Hyponormal OperatorsAnuradha Gupta, Karuna Mamtani경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호The spectral continuity of essentially hyponormal operators김안현, 류은진대한수학회 · 대한수학회논문집2014 · 제29권 제3호On [m,C]-symmetric OperatorsJun Tomiyama, K^otar^o Tanahashi, Muneo Cho경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제4호

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