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.