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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.
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참고문헌 (9)
참고문헌 신청
A. L. Shields / 1971 / The commutants of certain Hilbert space opera-tors / Indiana Univ. Math. J 20 : 777 ~ 788
Animikh Biswas / 2002 / Alan Lambert and SrdjanPetrovic. Extended eigenvalues and the Volterra operator / Glasg. math. J 44 (3) : 521 ~ 534
Animikh Biswas / 2006 / On extended eigenvalues of operators / Integral Equtions Operator Theory 55 (2) : 233 ~ 248
Arlen Brown / 1965 / Ces aro operators / Acta Sci.Math. (Szeged) 26 : 125 ~ 137
Julia Wagner / 2013 / On the cesro operator in weighted l2sequence space and the gen-eralized concept of normality / Ann. Funct. Anal 4 (2) : 1 ~ 11
Animikh Biswas / 2002 / Alan Lambert and SrdjanPetrovic. Extended eigenvalues and the Volterra operator / Glasg. math. J 44 (3) : 521 ~ 534
Animikh Biswas / 2006 / On extended eigenvalues of operators / Integral Equtions Operator Theory 55 (2) : 233 ~ 248
Arlen Brown / 1965 / Ces aro operators / Acta Sci.Math. (Szeged) 26 : 125 ~ 137
Julia Wagner / 2013 / On the cesro operator in weighted l2sequence space and the gen-eralized concept of normality / Ann. Funct. Anal 4 (2) : 1 ~ 11
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