The Cauchy dual and 2-isometric liftings of concave operators

Published 22 Nov 2018 in math.FA | (1811.09225v1)

Abstract: We present some 2-isometric lifting and extension results for Hilbert space concave operators. For a special class of concave operators we study their Cauchy dual operators and discuss conditions under which these operators are subnormal. In particular, the quasinormality of compressions of such operators is studied.

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