Results 31 to 40 of about 259 (61)
Stochastic processes on totally disconnected topological groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 48, Page 3067-3089, 2003., 2003 Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non‐Archimedean Banach spaces. Theorems about a quasi‐invariance and a pseudodifferentiability of transition measures are proved. Transition measures are used for the construction
S. V. Ludkovsky
wiley +1 more source
Differential and maximal ideals of the ultrametric Corona algebra [PDF]
, 2011 International audienceLet $K$ be a complete ultrametric algebraically closed field and let $A$ be the Banach $K$-algebra of bounded analytic functions in the ''open'' unit disk $D$ of $K$ provided with the Gauss norm.
Escassut, Alain
core +2 more sources
Tauberian operators in p‐adic analysis
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 149-162, 2000., 2000 In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p‐adic Tauberian operators and operators having property N in terms of basic sequences. And, as its applications, we give some equivalent relations between these operators and p‐adic semi‐Fredholm ...
Takemitsu Kiyosawa
wiley +1 more source
Non‐archimedean Eberlein‐ mulian theory
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 637-642, 1996., 1995 It is shown that, for a large class of non‐archimedean normed spaces E, a subset X is weakly compact as soon as f(X) is compact for all f ∈ E′ (Theorem 2.1), a fact that has no analogue in Functional Analysis over the real or complex numbers. As a Corollary we derive a non‐archimedean version of the Eberlein‐ mulian Theorem (2.2 and 2.3, for the ...
T. Kiyosawa, W. H. Schikhof
wiley +1 more source
Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation
Advances in Differential Equations, 2012 The main goal of this paper is to study the Hyers-Ulam-Rassias stability of the following Euler-Lagrange type additive functional equation: ∑j=1mf(−rjxj+∑1≤i≤m,i≠jrixi)+2∑i=1mrif(xi)=mf(∑i=1mrixi), where r1,…,rm∈R, ∑i=kmrk≠0,
H. Azadi Kenary +4 more
semanticscholar +2 more sources
Complemented subspaces of p‐adic second dual Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 437-442, 1995., 1993 Let K be a non‐archimedean non‐trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach space has an orthocomplemented subspace linearly homeomorphic to l∞.
Takemitsu Kiyosawa
wiley +1 more source
Stability results in non-Archimedean L-fuzzy normed spaces for a cubic functional equation
Journal of Inequalities and Applications, 2012 We establish some stability results concerning the functional equation nf(x+ny)+f(nx−y)=n(n2+1)2[f(x+y)+f(x−y)]+(n4−1)f(y), where n≥2 is a fixed integer in the setting of non-Archimedean L-fuzzy normed spaces.MSC:39B52, 46S10, 46S40, 47S10, 47S40.
J. Bae, Sang-Baek Lee, W. Park
semanticscholar +2 more sources
A functional equation related to inner product spaces in non-Archimedean L-random normed spaces
, 2012 In this paper, we prove the stability of a functional equation related to inner product spaces in non-Archimedean L-random normed spaces.MSC: 46S10, 39B52, 47S10, 26E30, 12J25.
J. Vahidi, Choonkill Park, R. Saadati
semanticscholar +1 more source
Bernoulli type polynomials on Umbral Algebra
, 2011 The aim of this paper is to investigate generating functions for modification of the Milne-Thomson's polynomials, which are related to the Bernoulli polynomials and the Hermite polynomials. By applying the Umbral algebra to these generating functions, we
G Bretti +8 more
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Journal of Inequalities and Applications, 2012 Using fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive-additive and orthogonally quadratic-quadratic functional equation fx+y+z2+fx+y-z2+fx-y+z2+fy+z-x2=f(x)+f(y)+f(z) for all x, y, z with x ⊥ y, in orthogonality ...
Choonkill Park +3 more
semanticscholar +2 more sources