Almost -Hyponormal Operators with Weyl Spectrum of Area Zero | Zendy

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Almost -Hyponormal Operators with Weyl Spectrum of Area Zero

Author(s) -

Vasile Lauric

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/801313

Subject(s) - mathematics , zero (linguistics) , nuclear operator , spectrum (functional analysis) , trace (psycholinguistics) , class (philosophy) , trace class , operator (biology) , pure mathematics , operator theory , algebra over a field , finite rank operator , linguistics , hilbert space , banach space , computer science , quantum mechanics , physics , philosophy , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene

We define the class of almost -hyponormal operators and prove thatfor an operator in this class, (∗)−(∗) is trace-class and its trace is zero when∈(0,1] and the area of the Weyl spectrum is zero

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