Spectral properties of square hyponormal operators
Keyword(s):
In this paper, we introduce a square hyponormal operator as a bounded linear operator T on a complex Hilbert space H such that T2 is a hyponormal operator, and we investigate some basic properties of this operator. Under the hypothesis ?(T) ? (-?(T)) ? {0}, we study spectral properties of a square hyponormal operator. In particular, we show that if z and w are distinct eigen-values of T and x,y ? H are corresponding eigen-vectors, respectively, then ?x,y? = 0. Also, we define nth hyponormal operators and present some properties of this kind of operators.
1994 ◽
Vol 36
(1)
◽
pp. 117-122
◽
1969 ◽
Vol 21
◽
pp. 1421-1426
◽
Keyword(s):
1969 ◽
Vol 12
(5)
◽
pp. 639-643
◽
2016 ◽
Vol 59
(2)
◽
pp. 354-362
◽
1974 ◽
Vol 76
(2)
◽
pp. 415-416
◽
Keyword(s):
1977 ◽
Vol 29
(5)
◽
pp. 1010-1030
◽