Results 11 to 20 of about 51 (46)
A Functional equation related to inner product spaces in non-archimedean normed spaces [PDF]
Advances in Difference Equations, 2011 In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.
shin Dong +4 more
doaj +3 more sources
Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces [PDF]
Journal of Inequalities and Applications, 2011 Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and ...
Kang Jung Im, Cho Yeol Je, Najati Abbas
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On the stability of pexider functional equation in non-archimedean spaces
Journal of Inequalities and Applications, 2011 In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f.
Vaezpour Seiyed +2 more
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Nonlinear approximation of an ACQ-functional equation in nan-spaces [PDF]
, 2011 In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of an additive-cubic-quartic functional equation in NAN-spaces.
Jung Lee +3 more
core +1 more source
A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces [PDF]
, 2011 Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stability of the following functional equation f (
Sun Jang +4 more
core +1 more source
Stochastic antiderivational equations on non‐Archimedean Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 41, Page 2587-2602, 2003., 2003 Stochastic antiderivational equations on Banach spaces over local non‐Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non‐Archimedean analog of the Gaussian measure.
S. V. Ludkovsky
wiley +1 more source
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
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
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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
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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
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