Results 111 to 120 of about 4,758,376 (292)
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
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
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
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
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
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
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
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
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
Richards's curve induced Banach space valued multivariate neural network approximation. [PDF]
Anastassiou GA, Karateke S.
europepmc +1 more source