Linear preservers of isomorphic types of lattices of invariant operator ranges

Rodman, Leiba; Zobin, Nahum

doi:10.1090/S0002-9939-01-05973-1

Linear preservers of isomorphic types of lattices of invariant operator ranges
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by Leiba Rodman and Nahum Zobin PDF

Proc. Amer. Math. Soc. 129 (2001), 2981-2986 Request permission

Abstract:

We describe all linear self-mappings of the space of bounded linear operators in an infinite dimensional separable complex Hilbert space which preserve the isomorphism class of the lattice of invariant operator ranges.

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