지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
It is shown that every almost positive linear mapping h : A→
B of a Banach *-algebra A to a Banach *-algebra B is a positive linear
operator when h(rx) = rh(x) (r > 1) holds for all x ∈ A, and that every
almost linear mapping h : A → B of a unital C^*-algebra A to a unital
C^*-algebra B is a positive linear operator when h(2^nu^*y) = h(2^nu)^*h(y)
holds for all unitaries u ∈ A, all y ∈ A, and all n = 0, 1, 2, . . ., by using
the Hyers-Ulam-Rassias stability of functional equations.
Under a more weak condition than the condition as given above, we
prove that every almost linear mapping h : A→ B of a unital C^*-algebra
A to a unital C^*-algebra B is a positive linear operator. It is applied to
investigate states, center states and center-valued traces.
목차
등록된 정보가 없습니다.
참고문헌 (24)
참고문헌 신청
B. E. Johnson / 1988 / Approximately multiplicative maps between Banach algebras / J. London Math. Soc 37 (2) : 294 ~ 316
C. Park / 2002 / On the stability of the linear mapping in Banach modules / J. Math. Anal. Appl 275 (2) : 711 ~ 720
C. Park / 2003 / The bundle structure of noncommutative tori over UHF-algebras / Bull. Belg. Math. Soc. Simon Stevin 10 (3) : 321 ~ 328
C. Park / 2006 / Hyers-Ulam-Rassias stability of a generalized Euler-Lagrange type additive mapping and isomorphisms between C¤-algebras / Bull. Belg. Math. Soc. Simon Stev
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U. S. A 27 : 222 ~ 224
C. Park / 2002 / On the stability of the linear mapping in Banach modules / J. Math. Anal. Appl 275 (2) : 711 ~ 720
C. Park / 2003 / The bundle structure of noncommutative tori over UHF-algebras / Bull. Belg. Math. Soc. Simon Stevin 10 (3) : 321 ~ 328
C. Park / 2006 / Hyers-Ulam-Rassias stability of a generalized Euler-Lagrange type additive mapping and isomorphisms between C¤-algebras / Bull. Belg. Math. Soc. Simon Stev
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Nat. Acad. Sci. U. S. A 27 : 222 ~ 224
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Homomorphisms between $C^*$-algebras associated with the Triffunctional equation and linear derivations on$C^*$-algebras
대한수학회지
2004 .01
-
On stability problems with shadowing property and its application
대한수학회보
2011 .01
-
Functional equations in Banach modules and approximate algebra homomorphisms in Banach algebras
한국수학논문집
2011 .01
-
Poisson Banach Modules over a Poisson C*-Algebra
Kyungpook Mathematical Journal
2008 .01
-
d-ISOMETRIC LINEAR MAPPINGS IN LINEAR d-NORMED BANACH MODULES
대한수학회지
2008 .01
-
ORTHOGONALITY AND LINEAR MAPPINGS IN BANACH MODULES
순수 및 응용수학
2015 .01
-
β-ALGEBRAS AND RELATED TOPICS
대한수학회논문집
2012 .01
-
LINEAR OPERATORS IN BANACH MODULES OVER A C-ALGEBRA AND ITS UNITARY GROUP
충청수학회지
2002 .01
-
ON THE STABILITY OF THE JENSEN'S FUNCTIONAL EQUATION IN BANACH MODULES
충청수학회지
2001 .01
-
HYERS-ULAM-RASSIAS STABILITY OF ISOMORPHISMS IN C-ALGEBRAS
충청수학회지
2006 .01
-
STABILITY OF THE JENSEN'S EQUATION IN A HILBERT MODULE OVER A C-ALGEBRA
충청수학회지
2002 .01
-
On the Construction of Polynomial $\beta$-algebras over a Field
Kyungpook Mathematical Journal
2017 .01
-
Stability of the Cauchy functional equation in Banach algebras
한국수학논문집
2009 .01
-
STABILITY OF HOMOMORPHISMS IN BANACH MODULES OVER A C*-ALGEBRA ASSOCIATED WITH A GENERALIZED JENSEN TYPE MAPPING AND APPLICATIONS
한국수학논문집
2014 .01
-
On the stability of bi-derivations in Banach algebras
대한수학회보
2011 .01
-
Decomposition theorems of Lie operator algebras
대한수학회보
2011 .01
-
STABILITY OF CYCLIC FUNCTIONAL EQUATIONS IN BANACH MODULES OVER A C-ALGEBRA
충청수학회지
2004 .01
-
Algebras of Gelfand-continuous functions into Arens-Michael algebras
대한수학회논문집
2019 .01
-
Stability of the Jensen type functional equation in Banach algebras: a fixed point approach
한국수학논문집
2011 .01
-
Cellularity of a Larger Class of Diagram Algebras
Kyungpook Mathematical Journal
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0