Results 11 to 20 of about 4,708,050 (255)
On the Stability of the linear Transformation in Banach Spaces. [PDF]
, 1950 for any $x$ in $E$ . Theorem. $1ff(x)$ is an $ap\ell^{\prime}oximately$ linear transformation from $E$ into $E^{\prime}$ , then $t\gamma_{\iota e;^{\prime}e}$ is a linear transformation $\varphi(x)$ near $f(x)$ . And suck $\varphi(x)$ is unique.
Tosio Aoki
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The Random Feature Model for Input-Output Maps between Banach Spaces [PDF]
SIAM Journal on Scientific Computing, 2020 Well known to the machine learning community, the random feature model, originally introduced by Rahimi and Recht in 2008, is a parametric approximation to kernel interpolation or regression methods.
Nicholas H. Nelsen, Andrew M. Stuart
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Approximating fixed points of enriched contractions in Banach spaces [PDF]
Journal of Fixed Point Theory and Applications, 2019 We introduce a large class of contractive mappings, called enriched contractions, a class which includes, amongst many other contractive type mappings, the Picard–Banach contractions and some nonexpansive mappings.
V. Berinde, M. Pacurar
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Advances in Mathematics, 2005 We show that any Banach space contains a continuum of non isomorphic subspaces or a minimal subspace. We define an ergodic Banach space $X$ as a space such that $E_0$ Borel reduces to isomorphism on the set of subspaces of $X$, and show that every Banach space is either ergodic or contains a subspace with an unconditional basis $ which is ...
Valentin Ferenczi, Christian Rosendal
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Translation-modulation invariant Banach spaces of ultradistributions [PDF]
, 2018 We introduce and study a new class of translation-modulation invariant Banach spaces of ultradistributions. These spaces show stability under Fourier transform and tensor products; furthermore, they have a natural Banach convolution module structure over
Dimovski, Pavel +3 more
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Martingale transforms on Banach function spaces
Electronic Research Archive, 2022 We establish the boundedness of martingale transforms on Banach function spaces by using the Rubio de Francia extrapolation theory and the interpolation theorem by Zygmund.
Kwok-Pun Ho
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On Nonseparable Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1982 Combining combinatorial methods from set theory with the functional structure of certain Banach spaces we get some results on the isomorphic structure of nonseparable Banach spaces. The conclusions of the paper, in conjunction with already known results, give complete answers to problems of the theory of Banach spaces. An interesting point here is that
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Proceedings of the American Mathematical Society, 2006 A well-known theorem by H. Corson states that if a Banach space admits a locally finite covering by bounded closed convex subsets, then it contains no infinite-dimensional reflexive subspace. We strengthen this result proving that if an infinite-dimensional Banach space admits a locally finite covering by bounded w w -closed subsets ...
V. P. Fonf, C. Zanco
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Geometric duality theory of cones in dual pairs of vector spaces [PDF]
, 2015 This paper will generalize what may be termed the "geometric duality theory" of real pre-ordered Banach spaces which relates geometric properties of a closed cone in a real Banach space, to geometric properties of the dual cone in the dual Banach space ...
Messerschmidt, Miek
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Notes on banach function spaces, I
Indagationes Mathematicae (Proceedings), 1963 W. A. J. Luxemburg, Adriaan C. Zaanen
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