HERMITIAN OPERATORS ON BANACH ALGEBRAS OF VECTOR-VALUED LIPSCHITZ MAPS (Researches on isometries from various viewpoints)
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- Oi, Shiho
- Niigata Prefectural Nagaoka High School
Bibliographic Information
- Other Title
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- HERMITIAN OPERATORS ON BANACH ALGEBRAS OF VECTOR-VALUED LIPSCHITZ MAPS : JOINT WORK WITH OSAMU HATORI
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Abstract
Let H be a complex Hilbert space and [., .] an inner-product on H. A bounded linear operator T on H is a Hermitian operator if [Tx, x] in mathbb{R} for each x in H. In 1961, the Hermitian operator on a normed vector space was defined by means of the semi-inner product defined by Lumer [6]. Hermitian operators and their applications have been studied by many authors; a few of them are [1, 2, 5, 6, 7]. We exhibit forms of Hermitian operators on certain semisimple commutative Banach algebras.
Journal
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- RIMS Kokyuroku
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RIMS Kokyuroku 2035 168-172, 2017-07
京都大学数理解析研究所
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Details 詳細情報について
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- CRID
- 1050282813186062464
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- NII Article ID
- 120006579052
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- NII Book ID
- AN00061013
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- ISSN
- 18802818
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- HANDLE
- 2433/236827
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- NDL BIB ID
- 028615240
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- IRDB
- NDL
- CiNii Articles