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math.FA2000
A Wigner-type theorem in Banach spaces
Lajos Molnar
We obtain an anlogue of Wigner's classical theorem on symmetries for Banach spaces. The proof is based on a result from the theory of linear preservers. Moreover, we present two ot…
math.FA2000
Some characterizations of the automorphisms of and
Lajos Molnar
We present some nonlinear characterizations of the automorphisms of the operator algebra and the function algebra by means of their spectrum preserving properties.
math.FA2000
On certain automorphisms of sets of partial isometries
Lajos Molnar
Under the mild condition of continuity at a single point we describe all the bijections of the set of all partial isometries on a Hilbert space which preserve the order and the ort…