Results 51 to 60 of about 305,614 (232)
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm
AxiomsThis research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
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A Shrinking Projection Algorithm with Errors for Costerro Bounded Linear Mappings
Journal of Mathematics, 2020 The purpose of this paper is to introduce and analyze the shrinking projection algorithm with errors for a finite set of costerro bounded linear mappings in the setting of uniformly convex smooth Banach spaces.
Joseph Frank Gordon
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Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
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Accessible operators on ultraproducts of Banach spaces
Extracta MathematicaeWe address a question by Henry Towsner about the possibility of representing linear operators between ultraproducts of Banach spaces by means of ultraproducts of nonlinear maps.
Félix Cabello Sánchez
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On various Riesz-dual sequences for Schauder frames
Heliyon, 2020 In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces.
Ali Reza Neisi, Mohammad Sadegh Asgari
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Different forms of metric characterizations of classes of Banach spaces [PDF]
, 2011 For each sequence X of finite-dimensional Banach spaces there exists a sequence H of finite connected nweighted graphs with maximum degree 3 such that the following conditions on a Banach space Y are equivalent: (1) Y admits uniformly isomorphic ...
Ostrovskii, Mikhail I.
core
Generalized quasi‐geostrophic equation in critical Lorentz–Besov spaces, based on maximal regularity
Mathematische Nachrichten, EarlyView.Abstract We consider the quasi‐geostrophic equation with its principal part (−Δ)α${(-\mathrm{\Delta})^{\alpha}}$ for α>1/2$\alpha >1/2$ in Rn$\mathbb {R}^n$ with n≥2$n \ge 2$. We show that for every initial data θ0∈Ḃr,q1−2α+nr$\theta _0 \in \dot{B}^{1-2\alpha + \frac{n}{r}}_{r, q}$ with 1
Hideo Kozono +2 more
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A C(K) Banach space which does not have the Schroeder-Bernstein property [PDF]
, 2011 We construct a totally disconnected compact Hausdorff space N which has clopen subsets M included in L included in N such that N is homeomorphic to M and hence C(N) is isometric as a Banach space to C(M) but C(N) is not isomorphic to C(L). This gives two
Koszmider, Piotr
core
Constructing separated sequences in Banach spaces [PDF]
Proceedings of the American Mathematical Society, 2010 If \(X\) is an infinite-dimensional Banach space, then there exists a sequence \((x_n)\) in \(B_X\), the unit ball of \(X\), and \(\gamma >1\) so that \(\text{sep} (x_n) \equiv \inf_{n\neq m} \|x_n-x_m\| \geq \gamma\) [\textit{J.\,Elton} and \textit{E.\,Odell}, ``The unit ball of every infinite-dimensional normed linear space contains a \((1+\epsilon)\)
openaire +1 more source