Results 101 to 110 of about 550,218 (272)
The small‐scale limit of magnitude and the one‐point property
Bulletin of the London Mathematical Society, EarlyView.Abstract The magnitude of a metric space is a real‐valued function whose parameter controls the scale of the metric. A metric space is said to have the one‐point property if its magnitude converges to 1 as the space is scaled down to a point. Not every finite metric space has the one‐point property: to date, exactly one example has been found of a ...
Emily Roff, Masahiko Yoshinaga
wiley +1 more source
On quotients of Banach spaces having shrinking unconditional bases [PDF]
arXiv, 1990 It is proved that if a Banach space $Y$ is a quotient of a Banach space having a shrinking unconditional basis, then every normalized weakly null sequence in $Y$ has an unconditional subsequence. The proof yields the corollary that every quotient of Schreier's space is $c_o$-saturated.
arxiv
Existence and regularity for integro‐differential free transmission problem
Bulletin of the London Mathematical Society, EarlyView.Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
wiley +1 more source
Miskolc Mathematical NotesIn this study, we introduce three new notions which may occur for some Banach spaces. We call these new properties AAI1, AAI2 and AAI3 where AAI stands for “alternative asymptotically isometric”.
Shilpa Das, Veysel Nezir, Aysun Güven
doaj +1 more source
Weak convergence of an iterative sequence for accretive operators in Banach spaces
Fixed Point Theory and Applications, 2006 Let C be a nonempty closed convex subset of a smooth Banach space E and let A be an accretive operator of C into E. We first introduce the problem of finding a point u∈C such that 〈Au,J(v−u)〉≥0 for all v∈C ...
Wataru Takahashi +2 more
doaj +1 more source
Extreme contractions on finite-dimensional polygonal Banach spaces
, 2019 We explore extreme contractions between finite-dimensional polygonal Banach spaces, from the point of view of attainment of norm of a linear operator. We prove that if $ X $ is an $ n- $dimensional polygonal Banach space and $ Y $ is any Banach space and
Paul, Kallol +2 more
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On $c_0$-saturated Banach spaces [PDF]
arXiv, 1992 A Banach space E is c_0-saturated if every closed infinite dimensional subspace of E contains an isomorph of c_0. A c_0-saturated Banach space with an unconditional basis which has a quotient space isomorphic to l^2 is constructed.
arxiv
Spaceability in Banach and quasi-Banach sequence spaces
Linear Algebra and its Applications, 2011 Let $X$ be a Banach space. We prove that, for a large class of Banach or quasi-Banach spaces $E$ of $X$-valued sequences, the sets $E-\bigcup _{q\in }\ell_{q}(X)$, where $ $ is any subset of $(0,\infty]$, and $E-c_{0}(X)$ contain closed infinite-dimensional subspaces of $E$ (if non-empty, of course). This result is applied in several particular cases
Diogo Diniz +3 more
openaire +3 more sources
Graphical models for topological groups: A case study on countable Stone spaces
Bulletin of the London Mathematical Society, EarlyView.Abstract By analogy with the Cayley graph of a group with respect to a finite generating set or the Cayley–Abels graph of a totally disconnected, locally compact group, we detail countable connected graphs associated to Polish groups that we term Cayley–Abels–Rosendal graphs.
Beth Branman +3 more
wiley +1 more source
Embedding into Banach spaces with finite dimensional decompositions
, 2006 This paper deals with the following types of problems: Assume a Banach space $X$ has some property (P). Can it be embedded into some Banach space $Z$ with a finite dimensional decomposition having property (P), or more generally, having a property ...
Odell, E., Schlumprecht, Th.
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