STABILITY OF DERIVATIONS ON PROPER LIE CQ*-ALGEBRAS
نویسندگان
چکیده
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولIsomorphisms and Generalized Derivations in Proper Cq∗-algebras
In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in proper CQ∗-algebras and of generalized derivations on proper CQ∗-algebras for the following Cauchy-Jensen additive mappings: f ( x + y + z 2 ) + f ( x− y + z 2 ) = f(x) + f(z), f ( x + y + z 2 ) − f ( x− y + z 2 ) = f(y), 2f ( x + y + z 2 ) = f(x) + f(y) + f(z), which were introduced and investigated in [3, 30]. This i...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2009
ISSN: 1225-1763
DOI: 10.4134/ckms.2009.24.1.005