A new type of numerical radius of operators on Hilbert C∗-module

In this paper, we define a new concept of numerical range W o ( · ) and prove its basic results. We also define the numerical radius ω o ( · ) and prove that ω o ( T ) ≤ | | | T | | | ≤ 2 ω o ( T ) .

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2020-04, Vol.69 (1), p.29-37
Main Authors: Mehrazin, Marzieh, Amyari, Maryam, Omidvar, Mohsen Erfanian
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
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Summary:In this paper, we define a new concept of numerical range W o ( · ) and prove its basic results. We also define the numerical radius ω o ( · ) and prove that ω o ( T ) ≤ | | | T | | | ≤ 2 ω o ( T ) .
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-018-0385-3