Results 101 to 110 of about 137 (130)

ON P-HYPONORMAL COMPOSITION OPERATORS

Universal Journal of Mathematics and Mathematical Sciences, 2020
Summary: In this paper, we introduce P-hyponormal composition operators on \(L^2\)-spaces and study some of their properties. We show that Fuglede-Putnam's (briefly FP) theorem holds for P-hyponormal and P-hyponormal composition operators.
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Square of ω-hyponormal operators

Integral Equations and Operator Theory, 2001
A bounded linear operator \(T\) on a complex Hilbert space with polar decomposition \(T= U|T|\) is said to be \(w\)-hyponormal if \(||T|^{{1\over 2}} U|T|^{{1\over 2}}|\geq |T|\geq ||T|^{{1\over 2}} U^*|T|^{{1\over 2}}\). It is shown that the square of a \(w\)-hyponormal operator itself is \(w\)-hyponormal. This generalizes a result of Althuge and Wang
Chō, M., Huruya, T.
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p -Hyponormal Operators and Quasisimilarity

Integral Equations and Operator Theory, 2004
The authors show that the normal parts of quasisimilar \(p\)-hyponormal operators are unitarily equivalent. As a corollary of this result, the authors obtain that if a \(p\)-hyponormal operator \(T\) is quasisimilar to a normal operator, then \(T\) is normal and they are unitarily equivalent.
Jeon, I. H., Duggal, B. P.
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Elementary Properties of Hyponormal Operators and Semi-Hyponormal Operators

1983
The spectral analysis of operators has always been one of the interesting and active topics of Operator Theory. The theory of spectral analysis of self-adjoint operators, unitary and normal operators is now an important part of the many textbooks on Functional Analysis. Since the 1950’s, many mathematicians have considered more general linear operators.
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Quadratic Hyponormality and 2-Hyponormality for Toeplitz Operators

Integral Equations and Operator Theory, 2005
In this note we prove the conjecture given in [11]: Let 0 < α < 1 and let ψ be the conformal map of the unit disk onto the interior of the ellipse with vertices ±(1+α)i and passing through ±(1−α). If \( \varphi = \psi + \lambda \overline \psi \) then Tφ is quadratically hyponormal if and only if Tφ is 2–hyponormal.
Sang Hoon Lee, Woo Young Lee
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The Spectra of Completely Hyponormal Operators

American Journal of Mathematics, 1971
1. A bounded operator T on a Hilbert space e is said to be hyponormal if (1. 1) T*T -TT* ==D_O. For a survey of some of the properties of such operators, see Putnam [6]. ilyponormal and normal operators have certain common properties. In particular, if T has the rectangular representation T = H + iJ, so that (1.
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D-hyponormal and D-quasi-hyponormal Operators

Communications in Mathematics and Applications, 2022
Nadia Mesbah, Hadia Messaoudene
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Quasi-similarp-hyponormal operators

Integral Equations and Operator Theory, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The analytic model of a hyponormal operator with rank one self-commutator

Integral Equations and Operator Theory, 1984
Daoxing Xia, Jingbo Xia, Joel D Pincus
exaly  

Application of two operators transform from class a operator to the class of hyponormal operator

Acta Mathematica Scientia, 2011
Yang Changsen
exaly