JournalspmVol. 69, No. 4pp. 305–320

Class wA(s,t)wA(s,t) operators and quasisimilarity

  • Mohammad H. M. Rashid

    Mu’tah University, Al-Karak, Jordan
Class $wA(s,t)$ operators and quasisimilarity cover
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Abstract

In this paper it is shown that the normal parts of quasisimilar wA(s,t)wA(s,t) operators with s+t=1s+t=1 are unitarily equivalent. Also, we establish the orthogonality of the range and the kernel of a nonnormal derivation with respect to the unitarily invariant norms associated with norm ideals of operators. Moreover, we obtain that the range of the generalized derivation induced by an pair satisfies Fuglede–Putnam property is orthogonal to its kernel.

Cite this article

Mohammad H. M. Rashid, Class wA(s,t)wA(s,t) operators and quasisimilarity. Port. Math. 69 (2012), no. 4, pp. 305–320

DOI 10.4171/PM/1919