Results 111 to 120 of about 25,291 (257)
On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases
Advances in Mathematics, 2015 We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results.
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Rocky Mountain Journal of Mathematics, 1997 Let $E$ be a Banach space and, for any positive integer $n$, let ${\cal P}(^nE)$ denote the Banach space of continuous $n$-homogeneous polynomials on $E$. Davie and Gamelin showed that the natural extension mapping from ${\cal P}(^nE)$ to ${\cal P}(^nE^{\ast\ast})$ is an isometry into the latter space.
Aron, Richard M., Dineen, Seán
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Advanced Intelligent Discovery, Volume 2, Issue 3, June 2026.We propose a residual‐based adversarial‐gradient moving sample (RAMS) method for scientific machine learning that treats samples as trainable variables and updates them to maximize the physics residual, thereby effectively concentrating samples in inadequately learned regions.
Weihang Ouyang +4 more
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Stability of mappings on multi-normed spaces [PDF]
, 2007 In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings ...
Dales, H.G. +3 more
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Ecology and Evolution, Volume 16, Issue 6, June 2026.This study investigated the relationship of nest‐site selection parameters, timing of breeding, brood size, and nestling body condition with the brood sex ratio of Black‐crowned Night Herons (Nycticorax nycticorax) in northern Iran during 2023. Nestling sex was determined via PCR amplification of the CHD gene from blood samples.
Seyedeh Farahnaz Vesali +3 more
wiley +1 more source
On Weakly Lindelof Banach Spaces
Rocky Mountain Journal of Mathematics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Argyros, S., Mercourakis, S.
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2-convexity and 2-concavity in Schatten ideals. [PDF]
, 1996 The properties p-convexity and q-concavity are fundamental in the study of Banach sequence spaces (see [L-TzII]), and in recent years have been shown to be of great significance in the theory of the corresponding Schatten ideals ([G-TJ], [LP-P] and many ...
Jameson, Graham J. O.
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Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations
Mathematische Nachrichten, Volume 299, Issue 6, Page 1480-1509, June 2026.ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
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Bernstein’s theorem for Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1968 This paper contains a Banach space generalization of Bernstein's Theorem. An absolutely monotonic (f(n) > 0, n = 1, 2, ) real valued function of a real variable is real analytic. For some background on this theorem, see S. Bernstein [1], D. V. Widder [5], or R. Boas [2]. We first present some definitions. We denote a Banach space over the reals by E; U
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A Variational Characterization of Reflexivity and Strict Convexity
, 1999 In this paper we give a variational characterization of reflexivity and strict convexity which is related to James and Krein theorems in Geometry of Banach ...
Dragomir, Sever S
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