In the paper “Semicontinuous envelopes, Riemann integral, and uniform distribution in C*-algebras” (Funct. Anal. Appl. 29 (4), 268– 275 (1995)(1996)), the author had constructed the Riemann integral with respect to a state on a separable unital ...
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https://www.riss.kr/link?id=A104869294
A. I. Shtern (Moscow State University)
2016
English
KCI등재,SCOPUS
학술저널
379-382(4쪽)
0
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
In the paper “Semicontinuous envelopes, Riemann integral, and uniform distribution in C*-algebras” (Funct. Anal. Appl. 29 (4), 268– 275 (1995)(1996)), the author had constructed the Riemann integral with respect to a state on a separable unital ...
In the paper “Semicontinuous envelopes, Riemann integral, and uniform distribution in C*-algebras” (Funct. Anal. Appl. 29 (4), 268– 275 (1995)(1996)), the author had constructed the Riemann integral with respect to a state on a separable unital C*-algebra A. In particular, the semicontinuous hulls of elements of the enveloping von Neumann algebra A of A were introduced and studied and, for a given state ! on A, a class of selfadjoint elements of the algebra A that are Riemann integrable with respect to the state ω were introduced. It was also proved that this class is the self-adjoint part of a C*-algebra, and relations to the uniform distribution of states of the C*-algebra A with respect to the state ω were indicated. In the present note, we supplement these results by a version of Lebesgue’s criterion for the Riemann integrability of self-adjoint elements of A.
참고문헌 (Reference)
1 M. Takesaki, "Theory of Operator Algebras" Springer–Verlag 1979
2 A. I. Shtern, "Semicontinuous envelopes, Riemann integral, and uniform distribution in C¤-algebras" 29 (29): 57-67, 1995
1 M. Takesaki, "Theory of Operator Algebras" Springer–Verlag 1979
2 A. I. Shtern, "Semicontinuous envelopes, Riemann integral, and uniform distribution in C¤-algebras" 29 (29): 57-67, 1995
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학술지 이력
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2020-12-01 | 평가 | 등재 탈락 (해외등재 학술지 평가) | |
2013-10-01 | 평가 | 등재학술지 선정 (기타) | |
2011-01-01 | 평가 | 등재후보학술지 유지 (기타) | |
2008-04-08 | 학회명변경 | 한글명 : 장전수리과학회 -> 장전수학회(章田數學會) | |
2008-01-01 | 평가 | SCOPUS 등재 (신규평가) |
학술지 인용정보
기준연도 | WOS-KCI 통합IF(2년) | KCIF(2년) | KCIF(3년) |
---|---|---|---|
2016 | 0.16 | 0.16 | 0.24 |
KCIF(4년) | KCIF(5년) | 중심성지수(3년) | 즉시성지수 |
0.29 | 0.27 | 0.609 | 0.15 |