Group representations in non-archimedean Banach spaces
نویسندگان
چکیده
منابع مشابه
System of AQC functional equations in non-Archimedean normed spaces
In 1897, Hensel introduced a normed space which does not have the Archimedean property. During the last three decades theory of non--Archimedean spaces has gained the interest of physicists for their research in particular in problems coming from quantum physics, p--adic strings and superstrings. In this paper, we prove the generalized Hyers--Ulam--Rassias stability for a ...
متن کاملOn the Generalized Hyers–ulam Stability of Quartic Mappings in Non–archimedean Banach Spaces
Let X ,Y are linear space. In this paper, we prove the generalized Hyers-Ulam stability of the following quartic equation n ∑ k=2 ( k ∑ i1=2 k+1 ∑ i2=i1+1 . . . n ∑ in−k+1=in−k+1 ) f ( n ∑ i=1,i =i1,...,in−k+1 xi − n−k+1 ∑ r=1 xir )
متن کاملGeneralized Hyers–ulam Stability of an Aqcq-functional Equation in Non-archimedean Banach Spaces
In this paper, we prove the generalized Hyers–Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x + 2y) + f(x− 2y) = 4f(x + y) + 4f(x− y)− 6f(x) + f(2y) + f(−2y)− 4f(y)− 4f(−y) in non-Archimedean Banach spaces.
متن کاملGroup Actions on Banach Spaces
We survey the recent developments concerning fixed point properties for group actions on Banach spaces. In the setting of Hilbert spaces such fixed point properties correspond to Kazhdan’s property (T). Here we focus on the general, non-Hilbert case, we discuss the methods, examples and several applications. 2010 Mathematics Subject Classification: 20J06, 18H10, 46B99
متن کاملTropical Dolbeault Cohomology of Non-archimedean Spaces
In this survey article, we discuss some recent progress on tropical Dolbeault cohomology of varieties over non-Archimedean fields, a new cohomology theory based on real forms defined by Chambert-Loir and Ducros.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mémoires de la Société mathématique de France
سال: 1974
ISSN: 0249-633X,2275-3230
DOI: 10.24033/msmf.171