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- W195993755 abstract "The following result is well known and easy to prove (see [14, Theorem 2.2.6]). Theorem 0. If A is a primitive associative Banach algebra, then there exists a Banach space X such that A can be seen as a subalgebra of the Banach algebra BL(X) of all bounded linear operators on X in such a way that A acts irreducibly on X and the inclusion A↪BL(X) is continuous. In fact, if X is any vector space on which the primitive Banach algebra A acts faithfully and irreducibly, then X can be converted in a Banach space in such a way that the requirements in Theorem 0 are satisfied and even the inclusion A↪BL(X) is contractive. Roughly speaking, the aim of this paper is to prove the appropriate Jordan variant of Theorem 0." @default.
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- W195993755 date "1998-02-01" @default.
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- W195993755 title "Zel'Manov's Theorem for Primitive Jordan-Banach Algebras" @default.
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- W195993755 doi "https://doi.org/10.1112/s0024610798005882" @default.
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