Results 111 to 120 of about 4,758,376 (292)

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

open access: yesTransactions 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

New asymptotically isometric properties that imply the failure of the fixed point property in copies of 1

open access: yesMiskolc Mathematical Notes
In 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

Embedding into Banach spaces with finite dimensional decompositions

open access: yes, 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.
core  

A global existence theorem for autonomous differential equations in a Banach space

open access: yes, 1970
Let £ be a Banach space and let A be a continuous function from E into jE. Sufficient conditions are given to insure that the differential equation u'(t) =Au(t) has a unique solution on [0, oo ) for each initial value in E. One consequence of this result
R. Martin
semanticscholar   +1 more source

Spaceability in Banach and quasi-Banach sequence spaces

open access: yesLinear 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

On Bergman–Toeplitz operators in periodic planar domains

open access: yesTransactions 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

Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space

open access: yesAbstract and Applied Analysis, 2013
The generalized numerical index of a Banach space is introduced, and its properties on certain Banach spaces are studied. Ed-dari's theorem on the numerical index is extended to the generalized index and polynomial numerical index of a Banach space.
Sung Guen Kim, Han Ju Lee
doaj   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

On some properties of Banach operators

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
A mapping α from a normed space X into itself is called a Banach operator if there is a constant k such that 0 ...
A. B. Thaheem, AbdulRahim Khan
doaj   +1 more source

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