On the stability of the linear mapping in Banach modules

By Chun-Gil Park. 2002

188 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c486bb6f2f8669b0ddaa11827408c7155a318ef0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Choonkill Park
2. C. Baak
3. C. Park
4. Abbas Najati
5. Mohammad Sal Moslehian
6. Themistocles M. Rassias
7. D. Boo
8. Sei-Qwon Oh

In Applied Mathematics

1. Choonkill Park
2. Mohammad Sal Moslehian
3. Abbas Najati
4. Janusz Brzdek
5. C. Baak
6. C. Park
7. Justyna Sikorska
8. Wlodzimierz Fechner

In Mathematical Physics

1. Choonkill Park
2. C. Baak
3. C. Park
4. Abbas Najati
5. Mohammad Sal Moslehian
6. Janusz Brzdek
7. J. Hou
8. Justyna Sikorska

Citations in the corpus

• Recent developments of the conditional stability of the homomorphism equation (2015, background): “The stability of the linear mappings in Banach modules was studied by Park [85].”
• HOMOMORPHISMS BETWEEN LIE JC∗-ALGEBRAS AND CAUCHY-RASSIAS STABILITY OF LIE JC∗-ALGEBRA DERIVATIONS (2005, methodology): “Park [7] applied the Găvruta’s result to linear functional equations in Banach modules over a C∗ -algebra.”
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation (2007, background): “The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem (see [2,6,13,14,24]).”
• Homomorphisms between JC*–algebras and Lie C*–algebras (2005, methodology): “for all x ∈ G. Park [ 3 ] applied G˘avruta’s result to linear functional equations in Banach modules over a C ∗ -algebra.”
• Lie ∗-homomorphisms between Lie C∗-algebras and Lie ∗-derivations on Lie C∗-algebras (2004, methodology): “Park [5] applied the Ğavruta’s result to linear functional equations in Bana modules over aC∗-algebra.”
• Homomorphisms between Poisson JC*-Algebras (2005, methodology): “Park [9] applied the Găvruta’s result to linear functional equations in Banach modules over a C∗-algebra.”
• On an approximate automorphism on a C^*-algebra (2003, methodology): “Recently, Park [6] applied Givruta's result to linear functional equations in Banach modules over a C*-algebra.”
• Generalized additive mapping in Banach modules and isomorphisms between C ∗ -algebras ✩ (2006, methodology): “Park [4] applied the Ğ avruta’s result to linear functional equations Banach modules over a C∗-algebra.”