A Note on Symmetry of Birkhoff-James Orthogonality in Positive Cones of Locally C *-algebras

Alexander A. Katz
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Alexander A. Katz: Department of Mathematics and Computer Science, St. John’s College of Liberal Arts and Sciences, St. John’s University, 8000 Utopia Parkway, SJH-334-G, Queens, NY 11439, USA

Mathematics, 2020, vol. 8, issue 6, 1-14

Abstract: In the present note some results of Kimuro, Saito, and Tanaka on symmetry of Birkhoff-James orthogonality in positive cones of C *-algebras are extended to locally C *-algebras.

Keywords: C *-algebras; locally C *-algebras; projective limit of projective family of C *-algebras; locally Hilbert spaces; Birkhoff-James orthogonality; A + -local left (right) symmetric point for Birkhoff-James orthogonality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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