• ON CONCAVE OPERATORS IN FINITE DIMENSIONAL SPACES
Abstract
A bounded linear operator on a complex Hilbert space H is called a concave operator if . By a simple proof it is shown that in the finite dimensional case every convcave operator is a unitary operator. This improves a result recently obtained by Kh. D. Ikamov.
Keywords
Concave operators; Convex operators; Unitary operators.
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