Results 91 to 100 of about 421,577 (266)

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  

Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali, Serena Matucci, Paola Rubbioni   +2 more
wiley   +1 more source

Simple Proofs for Bochner-Schoenberg-Eberlein and the Bochner-Schoenberg-Eberlein Module Properties on ℓpX,A

Journal of Function Spaces
Let X be a nonempty set, A be a commutative Banach algebra, and 1 ...
Shirin Tavkoli, Rasoul Abazari, Ali Jabbari   +2 more
doaj   +1 more source

Complemented subspaces of p-adic second dual Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1995
Let K be a non-archimedean non-trivially valued complete field. In this paper we study Banach spaces over K. Some of main results are as follows: (1) The Banach space BC((l∞)1) has an orthocomplemented subspace linearly homeomorphic to c0. (2) The Banach
Takemitsu Kiyosawa
doaj   +1 more source

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  

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, Hideaki Iiduka, Koji Aoyama   +2 more
doaj   +1 more source

A Novel Picture Fuzzy n-Banach Space with Some New Contractive Conditions and Their Fixed Point Results

Journal of Function Spaces, 2020
A picture fuzzy n-normed linear space (NPF), a mixture of a picture fuzzy set and an n-normed linear space, is a proficient concept to cope with uncertain and unpredictable real-life problems.
Awais Asif, Hassen Aydi, Muhammad Arshad, Zeeshan Ali   +3 more
doaj   +1 more source

A Representation of Stable Banach Spaces [PDF]

arXiv, 1996
We show that any separable stable Banach space can be represented as a group of isometries on a separable reflexive Banach space, which extends a result of S. Guerre and M. Levy. As a consequence, we can then represent homeomorphically its space of types.
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, Daniel Pellegrino, Vinícius V. Fávaro, Geraldo Botelho   +3 more
openaire   +3 more sources

Some properties of Banach-valued sequence spaces ℓp[X]

International Journal of Mathematics and Mathematical Sciences, 2001
We discuss some properties of the Banach-valued sequence space ℓp[X](1 ...
Qingying Bu
doaj   +1 more source