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ON REAL NONISOMORPHIC BANACH SPACES WITH HOMEOMORPHIC GEOMETRIC STRUCTURE SPACES.

Authors :
TANAKA, RYOTARO
Source :
Bulletin of the Australian Mathematical Society. Jun2024, Vol. 109 Issue 3, p562-570. 9p.
Publication Year :
2024

Abstract

We give an example of a pair of real Banach spaces such that they are neither linearly isomorphic nor isomorphic with respect to the structure of Birkhoff–James orthogonality, but have mutually homeomorphic geometric structure spaces. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*BANACH spaces

Details

Language :
English
ISSN :
00049727
Volume :
109
Issue :
3
Database :
Academic Search Index
Journal :
Bulletin of the Australian Mathematical Society
Publication Type :
Academic Journal
Accession number :
177292585
Full Text :
https://doi.org/10.1017/S0004972723000746
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