Quasi-Jordan Banach Algebras
We initiate a study of quasi-Jordan normed algebras. It is demonstrated that any quasi-Jordan Banach algebra with a norm1unit can be given an equivalent norm making the algebra isometrically isomorphic to a closed right ideal of a unital split quasi-Jordan Banach algebra; the set of invertible elements may not be open; the spectrum of any element is nonempty, but it may be neither bounded nor closed and hence not compact. Some characterizations of the unbounded spectrum of an element in a split quasi-Jordan Banach algebra with certain examples are given in the end.
2006 ◽
Vol 74
(2)
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pp. 239-246
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1979 ◽
Vol 84
(1-2)
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pp. 55-70
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2018 ◽
Vol 11
(02)
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pp. 1850021
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1967 ◽
Vol 8
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pp. 41-49
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Keyword(s):
2018 ◽
Vol 17
(09)
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pp. 1850169
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1973 ◽
Vol 79
(1)
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pp. 82-85
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1959 ◽
Vol 11
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pp. 297-310
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