a-Weyl's Theorem and Property(\mathcalR ) for Operator Functions

ZHAO Lingling; GAO Kai; HONG Mingli; WANG Fuchang

doi:10.6054/j.jscnun.2023066

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ZHAO Lingling, GAO Kai, HONG Mingli, WANG Fuchang. a-Weyl's Theorem and Property(\mathcalR ) for Operator FunctionsJ. Journal of South China Normal University (Natural Science Edition), 2023, 55(5): 80-87. DOI: 10.6054/j.jscnun.2023066

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ZHAO Lingling, GAO Kai, HONG Mingli, WANG Fuchang. a-Weyl's Theorem and Property(\mathcalR ) for Operator FunctionsJ. Journal of South China Normal University (Natural Science Edition), 2023, 55(5): 80-87. DOI: 10.6054/j.jscnun.2023066

Citation:

ZHAO Lingling, GAO Kai, HONG Mingli, WANG Fuchang. a-Weyl's Theorem and Property(\mathcalR ) for Operator FunctionsJ. Journal of South China Normal University (Natural Science Edition), 2023, 55(5): 80-87. DOI: 10.6054/j.jscnun.2023066

a-Weyl's Theorem and Property(\mathcalR ) for Operator Functions

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The new judgements for which a-Weyl's theorem, property (\mathcalR ), both a-Weyl's theorem and property (\mathcalR ) hold are given. In additional, the necessary and sufficient conditions for operator functions to satisfy the a-Weyl's theorem, the property (\mathcalR ), both the a-Weyl's theorem and the property (\mathcalR ) are considered.

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a-Weyl's Theorem and Property(\mathcalR ) for Operator Functions

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