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Isometries of GL‐Spaces
Author(s) -
Edwards C. M.,
Rüttimann G. T.
Publication year - 1985
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-31.1.125
Subject(s) - isometry (riemannian geometry) , mathematics , norm (philosophy) , pure mathematics , projection (relational algebra) , decomposition , space (punctuation) , combinatorics , computer science , algorithm , chemistry , organic chemistry , political science , law , operating system
Let V be a GL‐space (or complete base norm space) having the property that every element of V possesses a unique Jordan decomposition. It is shown that every linear isometry of V possesses a unique decomposition as the composition of a positive linear isometry and a linear isometry of the form 2 P – I where P is an L ‐projection on V .