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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 637 - 650 (14page)
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In this paper first we show properties of isosymmetric operators given by M. Stankus [13]. Next we introduce an [m,C]-symmetric operator T on a complex Hilbert space H. We investigate properties of the spectrum of an [m,C]-symmetric operator and prove that if T is an [m,C]-symmetric operator and Q is an n-nilpotent operator, respectively, then T +Q is an [m+ 2n - 2 , C]-symmetric operator. Finally, we show that if T is [m,C]-symmetric and S is [n,D]-symmetric, then T S is [m+n-1,CxD]-symmetric.
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참고문헌 (13)
참고문헌 신청
J. Agler / 1995 / m-isometric transformations of Hilbert space I / Intgr. Equat. Oper. Theory 21:383~429
T. Bermudes / 2014 / Perturbation of m-isometries and nilpotent operators / Abstr. Appl. Anal :6
M. Cho / 2016 / Elementary properties of 1-isometries on a Hilbert space / Linear Algebra Appl. 511:378~402
M. Cho / 2017 / On [m,C]-isometric operators / Filomat 31(7):2073~2080
M. Cho / 2013 / Invertible weighted shift operators which are m-isometries / Proc. Amer. Math. Soc 141:4241~4247
T. Bermudes / 2014 / Perturbation of m-isometries and nilpotent operators / Abstr. Appl. Anal :6
M. Cho / 2016 / Elementary properties of 1-isometries on a Hilbert space / Linear Algebra Appl. 511:378~402
M. Cho / 2017 / On [m,C]-isometric operators / Filomat 31(7):2073~2080
M. Cho / 2013 / Invertible weighted shift operators which are m-isometries / Proc. Amer. Math. Soc 141:4241~4247
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