Some multiplicative preservers on BH)
classification
🧮 math.OA
math.FA
keywords
continuousmultiplicativethosecharacterizecomplexcorankdescribedimension
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In this paper we describe the form of those continuous multiplicative maps on B(H) (H being a separable complex Hilbert space of dimension not less than 3) which preserve the rank, or the corank. Furthermore, we characterize those continuous *-semigroup endomorphisms of B(H) which are spectrum non-increasing.
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