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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 281 - 286 (6page)
이용수
초록· 키워드
오류제보하기
In this note we prove that if A and B* are subnormal operators and X
is a bounded linear operator such that AX − XB is a Hilbert-Schmidt operator, then
f(A)X − Xf(B) is also a Hilbert-Schmidt operator and
||f(A)X − Xf(B)||₂≤ L||AX − XB||₂,
for f belonging to a certain class of functions. Furthermore, we investigate the similar
problem in the case that S, T are hyponormal operators and X 2 L(H) is such that
SX − XT belongs to a norm ideal (J, || · ||J ) and prove that f(S)X − Xf(T) 2 J and
||f(S)X − Xf(T)||J ≤ C ||SX − XT||J ,
for f in a certain class of functions.
목차
등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
D. Voiculescu / 1979 / Some results on norm ideal perturbation of Hilbert space operators / J. Operator Theory 2 : 3 ~ 37
E. M. Dynkin / 1972 / Functional calculus based on Cauchy-Green's formula (Russian), Researches in linear operators and function theory. III / Leningrad. Otdel. Mat. Inst. St
E. M. Dynkin / 1976 / Pseudo-analytic extension of smooth functions. The uniform scale (Russian), Theory of functions and functional analysis, Central Econom / Mat. Inst. Aca
F. Kittaneh / 1985 / On Lipschitz functions of normal operators / Proc. Amer. Math. Soc 94 : 416 ~ 418
G. Weiss / 1981 / Fuglede's commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators. II / J. Operator Theory 5 : 3 ~ 16
E. M. Dynkin / 1972 / Functional calculus based on Cauchy-Green's formula (Russian), Researches in linear operators and function theory. III / Leningrad. Otdel. Mat. Inst. St
E. M. Dynkin / 1976 / Pseudo-analytic extension of smooth functions. The uniform scale (Russian), Theory of functions and functional analysis, Central Econom / Mat. Inst. Aca
F. Kittaneh / 1985 / On Lipschitz functions of normal operators / Proc. Amer. Math. Soc 94 : 416 ~ 418
G. Weiss / 1981 / Fuglede's commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators. II / J. Operator Theory 5 : 3 ~ 16
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