A NEW CLASS OF NON NORMAL OPERATORS ON HILBERT SPACES

A NEW CLASS OF NON NORMAL OPERATORS ON HILBERT SPACES

A. N. Bakir

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Abstract

We introduce the class of (M; k)-quasi-parahyponormal operators on a sep- arable Hilbert space as an extension of the classes of parahyponormal and k-quasi- parahyponormal operators given in [13]. The matrix representation of an (M; k)-quasi- parahyponormal operator, the  nite ascent, the SVEP and other several properties of such class of operators are also presented.

Keywords

M-parahyponormal operator, k-quasi-parahyponormal operator, SVEP,  - nite ascent.