INVOLUTIVE GRADINGS AND KERNELS IN JBW*-TRIPLES
2009 ◽
Vol 02
(03)
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pp. 453-463
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Involutive automorphism, or bijective triple homorphisms of order two, on a JBW *-triple are in a one-to-one correspondence with involutive gradings and bicontractive projections. Such mappings are always isometric and weak*-continuous. This paper analyses the algebraic kernels of the 1-eigenspace B+ and -1-eigenspace B- of involutive automorphisms. It is shown that B+ and B- give rise to several decompositions of A and, remarkably, Ker (B+) and Ker (B-) are Peirce inner ideals.
1994 ◽
Vol 25
(2)
◽
pp. 112-114
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2021 ◽
Vol 7
(1)
◽
pp. 88-99
2017 ◽
Vol 2
(1)
◽
pp. 51
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