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Harmonic analysis of functions almost periodic at infinity in Banach modules [PDF]
The article is devoted to homogeneous spaces of functions defined on a locally compact Abelian group and with their values in a complex Banach space.
Strukova, Irina Igorevna
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On the inclusions of $X^\Phi$ spaces [PDF]
We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of $X^\Phi$ spaces, where $\Phi$ is a Young function and $X$ is a quasi-Banach function space on a $\sigma$-finite measure space $(\Omega ...
Seyyed Mohammad Tabatabaie +1 more
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Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space.
Kim Young Sik
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On Multipliers of Orlicz Spaces [PDF]
Let be a finite positive measure space, X a Banach space, a modulus function and a strongly measurable function. The Orlicz space is. The space of Bochner p-integrable functions, is.Also,.
Mahmud Masri
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BMO Functions Generated by AXℝn Weights on Ball Banach Function Spaces
Let X be a ball Banach function space on ℝn. We introduce the class of weights AXℝn. Assuming that the Hardy-Littlewood maximal function M is bounded on X and X′, we obtain that BMOℝn=αlnω:α≥0,ω∈AXℝn.
Ruimin Wu, Songbai Wang
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A note on approximation of continuous functions on normed spaces
Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
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Banach Spaces as Data Types [PDF]
We introduce the operators "modified limit" and "accumulation" on a Banach space, and we use this to define what we mean by being internally computable over the space.
Dag Normann
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Banach Lattice Structures and Concavifications in Banach Spaces
Let ( Ω , Σ , μ ) be a finite measure space and consider a Banach function space Y ( μ ) . We say that a Banach space E is representable by Y ( μ ) if there is a continuous bijection I : Y ( μ ...
Lucia Agud +3 more
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Application of a New Class of Characteristic Function
In Banach space,considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ,the independent variable is t,and the domain is [0,+ ∞ ) ,and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
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Weighted Vector-Valued Holomorphic Functions on Banach Spaces
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
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