Ulam stability of bihomomorphisms and biderivations in Banach algebras
© 2020, Springer Nature Switzerland AG. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of biderivations and bihomomorphisms in Banach algebras and unital C∗-algebras, associated with the bi-additive functional inequality: ‖f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y...
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th-cmuir.6653943832-684492020-04-02T15:27:36Z Ulam stability of bihomomorphisms and biderivations in Banach algebras Choonkil Park Siriluk Paokanta Raweerote Suparatulatorn Mathematics © 2020, Springer Nature Switzerland AG. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of biderivations and bihomomorphisms in Banach algebras and unital C∗-algebras, associated with the bi-additive functional inequality: ‖f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)-4f(x,z)‖≤∥s(2f(x+y,z-w)+2f(x-y,z+w)-4f(x,z)+4f(y,w))∥,where s is a fixed nonzero complex number with | s| < 1. 2020-04-02T15:27:36Z 2020-04-02T15:27:36Z 2020-06-01 Journal 16617746 16617738 2-s2.0-85081725094 10.1007/s11784-020-0766-z https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081725094&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68449 |
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Mathematics Choonkil Park Siriluk Paokanta Raweerote Suparatulatorn Ulam stability of bihomomorphisms and biderivations in Banach algebras |
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© 2020, Springer Nature Switzerland AG. Using the fixed point method and the direct method, we prove the Hyers–Ulam stability of biderivations and bihomomorphisms in Banach algebras and unital C∗-algebras, associated with the bi-additive functional inequality: ‖f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)-4f(x,z)‖≤∥s(2f(x+y,z-w)+2f(x-y,z+w)-4f(x,z)+4f(y,w))∥,where s is a fixed nonzero complex number with | s| < 1. |
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Journal |
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Choonkil Park Siriluk Paokanta Raweerote Suparatulatorn |
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Choonkil Park Siriluk Paokanta Raweerote Suparatulatorn |
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Choonkil Park |
| title |
Ulam stability of bihomomorphisms and biderivations in Banach algebras |
| title_short |
Ulam stability of bihomomorphisms and biderivations in Banach algebras |
| title_full |
Ulam stability of bihomomorphisms and biderivations in Banach algebras |
| title_fullStr |
Ulam stability of bihomomorphisms and biderivations in Banach algebras |
| title_full_unstemmed |
Ulam stability of bihomomorphisms and biderivations in Banach algebras |
| title_sort |
ulam stability of bihomomorphisms and biderivations in banach algebras |
| publishDate |
2020 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85081725094&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/68449 |
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