Results 71 to 80 of about 92,426 (217)
Geometric Structures in Tensor Representations (Final Release) [PDF]
, 2015 The main goal of this paper is to study the geometric structures associated with the representation of tensors in subspace based formats. To do this we use a property of the so-called minimal subspaces which allows us to describe the tensor ...
Falco, Antonio +2 more
core +2 more sources
Projective limit of a sequence of compatible weak symplectic forms on a sequence of Banach bundles and Darboux Theorem [PDF]
arXiv, 2020 Given a projective sequence of Banach bundles, each one provided with a of weak symplectic form, we look for conditions under which, the corresponding sequence of weak symplectic forms gives rise to weak symplectic form on the projective limit bundle. Then we apply this results to the tangent bundle of a projective limit of Banach manifolds.
arxiv
The Semi-simplicity Manifold on Arbitrary Banach Spaces
Journal of Functional Analysis, 1995 AbstractFor an arbitrary linear (possibly unbounded) operator A on a Banach space, with real spectrum, we construct a maximal continuously embedded Banach subspace on which this operator has a Cℓ(R) functional calculus. We call this subspace, Z, the semi-simplicity manifold for A.
Shmuel Kantorovitz, R. Delaubenfels
openaire +2 more sources
On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, EarlyView.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
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
arXiv, 2010 First, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.
arxiv
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
Integrability of weak distributions on Banach manifolds [PDF]
arXiv, 2010 This paper concerns the problem of integrability of non closed distributions on Banach manifolds. We introduce the notion of weak distribution and we look for conditions under which these distributions admit weak integral submanifolds. We give some applications to Banach Lie algebroid and Banach Lie-Poisson manifold.
arxiv
On Bergman–Toeplitz operators in periodic planar domains
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study spectra of Toeplitz operators Ta$T_a$ with periodic symbols in Bergman spaces A2(Π)$A^2(\Pi)$ on unbounded singly periodic planar domains Π$\Pi$, which are defined as the union of infinitely many copies of the translated, bounded periodic cell ϖ$\varpi$.
Jari Taskinen
wiley +1 more source
Existence of conjugacies and stable manifolds via suspensions
Electronic Journal of Differential Equations, 2017 We obtain in a simpler manner versions of the Grobman-Hartman theorem and of the stable manifold theorem for a sequence of maps on a Banach space, which corresponds to consider a nonautonomous dynamics with discrete time.
Luis Barreira +2 more
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