Properly algebraic and spectrum-finite ideals in Jordan systems
1993 ◽
Vol 114
(1)
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pp. 149-161
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Keyword(s):
The two main results of this paper are:(i) The set of properly algebraic elements of a Jordan system (algebra, triple system or pair) over an uncountable field is an ideal.(ii) For a semiprimitive Banach Jordan system, the socle, the largest properly algebraic ideal, the largest properly spectrum-finite ideal and the largest von Neumann regular ideal all coincide.
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Keyword(s):
2009 ◽
Vol 08
(05)
◽
pp. 601-615
Keyword(s):
2011 ◽
Vol 39
(9)
◽
pp. 3242-3252
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Keyword(s):
2007 ◽
Vol 06
(05)
◽
pp. 779-787
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Keyword(s):
1974 ◽
Vol 44
(2)
◽
pp. 244-244
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Keyword(s):
Keyword(s):