Results 31 to 40 of about 305,614 (232)

Separated sequences in nonreflexive Banach spaces [PDF]

Proceedings of the American Mathematical Society, 2000
Summary: We prove that there is \(c>1\) such that the unit ball of any nonreflexive Banach space contains a \(c\)-separated sequence. The supremum of these constants \(c\) is estimated from below by \(\root 5\of 4\) and from above approximately by \(1.71\).
Kryczka, Andrzej, Prus, Stanislaw
openaire   +2 more sources

Some topological and geometrical properties of new Banach sequence spaces

, 2013
In the present paper, we introduce a new band matrix Fˆ and define the sequence space ℓp(Fˆ)={x=(xk)∈ω:∑k|fkfk+1xk−fk+1fkxk−1 ...
E. Kara
semanticscholar   +1 more source

Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem

Journal of Function Spaces, 2022
Two concepts—one of Darbo-type theorem and the other of Banach sequence spaces—play a very important and active role in ongoing research on existence problems.
Þð Þð
semanticscholar   +1 more source

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space

International Journal of Mathematics and Mathematical Sciences, 2006
New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.
Ravi P. Agarwal, Donal O'Regan
doaj   +1 more source

Fréchet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesàro spaces

, 2021
The Fréchet (resp., (LB)-) sequence spaces ces(p+) := ⋂ r>p ces(r), 1 ≤ p < ∞ (resp.
J. Bonet, W. Ricker
semanticscholar   +1 more source

Applications of measure of noncompactness for the solvability of an infinite system of second order differential equations in some integrated sequence spaces

Proyecciones (Antofagasta), 2021
The aim of this paper is to study the infinite system of second order differential equations along with the given boundary conditions for its solvability in some integrated sequence spaces.
Rituparna Das, Niraj Sapkota
semanticscholar   +1 more source

M-constants in Orlicz Spaces Equipped with the Luxemburg Norm

Journal of Harbin University of Science and Technology, 2022
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
doaj   +1 more source

On sequence spaces for Fr\'echet frames

, 2008
We analyze the construction of a sequence space $\widetilde{\Theta}$, resp. a sequence of sequence spaces, in order to have $\{g_i\}$ as a $\widetilde{\Theta}$-frame or Banach frame for a Banach space $X$, resp. pre-$F$-frame or $F$-frame for a Fr\'echet
Albiac F., Casazza P. G., Diana T. Stoeva, Pilipović S., Stevan Pilipović, Zemanian A.   +5 more
core   +1 more source

On Some Banach Sequence Spaces Derived by a NewBand Matrix

, 2015
In this paper, we define the band matrix T = (tnk) by tnk =  tn , k = n − 1 tn , k = n− 1 0 , k > n or 0 ≤ k 0 for all n ∈ N and (tn) ∈ c\c0. By using the matrix T , we introduce the sequence space `p(T ) for 1 ≤ p ≤ ∞.
E. Kara, M. İlkhan
semanticscholar   +1 more source

On Some Properties of Banach Space-Valued Fibonacci Sequence Spaces

Communications in Advanced Mathematical Sciences
In this work, we give some results about the basic properties of the vector-valued Fibonacci sequence spaces. In general, sequence spaces with Banach space-valued cannot have a Schauder Basis unless the terms of the sequences are complex or real terms ...
Seçkin Yalçın, Yılmaz Yılmaz
doaj   +1 more source