논문KCI 등재
SUBNORMALITY OF THE WEIGHTED CESARO OPERATOR Ch 2 l2(h)
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The subnormality of some classes of operators is a very interesting property. In this paper, we prove that the weighted Ces\`aro operator $ C_h \in \ell^2(h) $ is subnormal and we described completely the set of the extended eigenvalues for the weighted Ces\`aro operator, some other important results are also given.
Abstract
The subnormality of some classes of operators is a very interesting property. In this paper, we prove that the weighted Ces\`aro operator $ C_h \in \ell^2(h) $ is subnormal and we described completely the set of the extended eigenvalues for the weighted Ces\`aro operator, some other important results are also given.
참고문헌 (9)
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- Arlen Brown, "Cesaro operators", Acta Sci.Math. (Szeged), 26, pp.125~137 (1965)
- P.R. Halmos, "A Hilbert Space Problem Book" (1967), D. Van Nostrand Company, Inc
- M. Lacruz, "Extended eigenvalues for Cesaro operators", J. Math. Anal. Appl, 429, pp.623~657 (2015)
- A. L. Shields, "The commutants of certain Hilbert space opera-tors", Indiana Univ. Math. J, 20, pp.777~788 (1971)
- Tavan T, "Trent, New conditions for subnormality", Paci c Journal of Mathemat-ics, 93(2) (1981)
- Julia Wagner, "On the cesro operator in weighted l2sequence space and the gen-eralized concept of normality", Ann. Funct. Anal, 4(2), pp.1~11 (2013)
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