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Functional equations in Banach modules and approximate algebra homomorphisms in Banach algebras

부덕훈|박춘길|Hassan Azadi Kenary
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2011.03|한국수학논문집 (Korean Journal of Mathematics)|제19권 제1호|pp. 33-52

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참고문헌

키워드

stability.unitary grouppartitioned functional equationapproximate algebra homomorphismBanach module over C^*-algebra
주제분류수학

초록

We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital C^*-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.

Abstract

We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital C^*-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.

참고문헌 (9)

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  3. D.H. Hyers, "Stability of Functional Equations in Several Variables" (1998), Birkhauser, Berlin, Basel and Boston
  4. B.E. Johnson, "An approximately multiplicative map between Banach algebras", J. Lond. Math. Soc, 37, pp.294~316 (1988)
  5. R. Kadison, "Means and convex combinations of unitary operators", Math. Scand, 57, pp.249~266 (1985)
  6. C. Park, "Partitioned functional equations in Banach modules over a C-algebra(preprint)", ~
  7. H. Schroder, "K-Theory for Real C-Algebras and Applications, Pitman Research Notes in Mathematics 290" (1993), Longman, Essex
  8. T. Trif, "Hyers-Ulam-Rassias stability of a Jensen type functional equation", J. Math. Anal. Appl, 250, pp.579~588 (2000)
  9. T. Trif, "On the stability of a functional equation deriving from an inequality of T. Popoviciu for convex functions", J. Math. Anal. Appl, 272, pp.604~616 (2002)

관련 논문AI추천

ORTHOGONALITY AND LINEAR MAPPINGS IN BANACH MODULES윤성식한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제4호ON AN ADDITIVE FUNCTIONAL INEQUALITY IN NORMED MODULES OVER A C*-ALGEBRA안종수한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제4호Stability of the Cauchy functional equation in Banach algebras박춘길, 이정례강원경기수학회 · 한국수학논문집2009 · 제17권 제1호ON THE STABILITY OF MODULE LEFT DERIVATIONS IN BANACH ALGEBRAS이양희, 정용수한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호STABILITY OF HOMOMORPHISMS IN BANACH MODULES OVER A C*-ALGEBRA ASSOCIATED WITH A GENERALIZED JENSEN TYPE MAPPING AND APPLICATIONS이정례강원경기수학회 · 한국수학논문집2014 · 제22권 제1호Quadratic functional equations associated with Borel functions and module actions박원길, 배재형대한수학회 · 대한수학회보2009 · 제46권 제3호

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