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Abstract: Let ▫$H$▫ be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of ▫$mathscr{B}(H)$▫, the algebra of all bounded linear operators on a Hilbert space ▫$H$▫, is an automorphism.
Keywords: mathematics, operator theory, automorphism, local automorphism, algebra of operators on a Hilbert space
Published in DKUM: 07.06.2012; Views: 1533; Downloads: 94
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