Results 1 to 10 of about 4,637,247 (289)
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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On the spaces of mappings on Banach spaces [PDF]
Journal of the Australian Mathematical Society, 1967 Let E be a real Banach space. A mapping f of E into E is said to be bounded if f maps every bounded set into a bounded set.
Sadayuki Yamamuro
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On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces
Mohammadreza Foroutan
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On Decoupling in Banach Spaces [PDF]
Journal of Theoretical Probability, 2021 AbstractWe consider decoupling inequalities for random variables taking values in a Banach space X. We restrict the class of distributions that appear as conditional distributions while decoupling and show that each adapted process can be approximated by a Haar-type expansion in which only the pre-specified conditional distributions appear.
Cox, Sonja, Geiss, Stefan
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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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A Class of Hereditarily $ell_p(c_0)$ Banach spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq ...
Somayeh Shahraki, Alireza Ahmadi Ledari
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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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Surjective isometries on Banach sequence spaces: A survey
Concrete Operators, 2022 In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial
Antunes Leandro, Beanland Kevin
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Applied General Topology, 2020 It is our purpose in this paper to prove some fixed point results and Fej´er monotonicity of some faster fixed point iterative sequences generated by some nonlinear operators satisfying rational inequality in complex valued Banach spaces.
Godwin Amechi Okeke, Mujahid Abbas
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