Lie and Jordan structure in operator algebras
1980 ◽
Vol 29
(2)
◽
pp. 129-142
Keyword(s):
AbstractLet υ be a C*-algebra, α a *-anti-automorphism of order 2, and υα(±1) = {A; A ∈ υ, α(A) = ± A} the spectral subspaces of α. It follows that υα(+ 1) is a Jordan algebra and υα(− 1) is a Lie algebra. We begin the classification of pairs of Jordan and Lie algebras which can occur in this manner by examining υ = ℒ(ℋ), the algebra of bounded operators on a Hilbert space ℋ.
2020 ◽
Vol ahead-of-print
(ahead-of-print)
◽
Keyword(s):
Keyword(s):
2016 ◽
Vol 15
(09)
◽
pp. 1650159
Keyword(s):
1980 ◽
Vol 3
(2)
◽
pp. 247-253
Keyword(s):
1982 ◽
Vol 34
(6)
◽
pp. 1215-1239
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1983 ◽
Vol 35
(5)
◽
pp. 898-960
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2013 ◽
Vol 13
(01)
◽
pp. 1350062
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