Results 31 to 40 of about 3,123 (248)
Complemented subspaces of p-adic second dual Banach spaces
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 BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach
Takemitsu Kiyosawa
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Approaches of linear operators in the intuitionistic fuzzy 2-Banach spaces
The focus of this paper is to present some concepts of intuitionistic fuzzy T-convergence in intuitionistic fuzzy 2-Banach spaces. We will modify and correct the definition of regularity of 2-norms on 2-Banach spaces, which was given by Gurdal et al. in (2009, Nonlinear Analysis: Theory, Methods & Applications, 71, 1654-1661) to guarantee uniqueness of
Vatan Karakaya, Müzeyyen Ertürk
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Ulam Stability Results of Functional Equations in Modular Spaces and 2-Banach Spaces
In this work, we investigate the refined stability of the additive, quartic, and quintic functional equations in modular spaces with and without the Δ2-condition using the direct method (Hyers method). We also examine Ulam stability in 2-Banach space using the direct method.
Kandhasamy Tamilvanan +5 more
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On some properties of Banach operators
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k such that 0 ...
A. B. Thaheem, AbdulRahim Khan
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A quadratic functional equation stability in 2-Banach spaces
In this article, we discuss the analysis in 2-Banach Spaces of the stability problem of the quadratic functional equation$$h(x+y)-h(x-y)=h(2 x+y)-4 h(x)-h(y) .$$
null G. Mayelvaganan, null S. Sekar
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The Szlenk Index and the Fixed Point Property under Renorming
Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R(X)<2, where R(⋅) is the ...
T. Domínguez Benavides
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A note on local asymptotic behaviour for Brownian motion in Banach spaces
In this paper we obtain an integral characterization of a two-sided upper function for Brownian motion in a real separable Banach space. This characterization generalizes that of Jain and Taylor [2] where B=ℝn.
Mou-Hsiung Chang
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On shrinking projection method for cutter type mappings with nonsummable errors
We prove two key inequalities for metric and generalized projections in a certain Banach space. We then obtain some asymptotic behavior of a sequence generated by the shrinking projection method introduced by Takahashi et al. (J. Math. Anal. Appl.
Takanori Ibaraki, Satit Saejung
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It is known that more and more mathematicians have paid their attention to the field of learning with a Banach space since Banach spaces may provide abundant inner-product structures.
Lin Liu, Xiaoling Pan, Baohuai Sheng
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Abstract Anterior knee pain is a common problem that can be difficult to treat. One potential cause of these symptoms is supratrochlear rim, which has been linked to isolated patellar chondromalacia in patients with patella alta and without any history of patellar dislocation or subluxation.
Tomasz Piontek +3 more
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