Results 11 to 20 of about 73,216 (207)
Generalized quasi-Banach sequence spaces and measures of noncompactness
Anais da Academia Brasileira de Ciências, 2013 Given 0 < s ≤ 1 and ψ an s-convex function, s – ψ -sequence spaces are introduced. Several quasi-Banach sequence spaces are thus characterized as a particular case of s – ψ -spaces.
EDUARDO B. SILVA +2 more
doaj +1 more source
Alexandria Engineering Journal, 2023 This article aims to study the existence of the solutions to the infinite system of Hilfer fractional differential equations in tempered sequence spaces.
Inzamamul Haque +2 more
doaj +1 more source
Banach spaces of $\mathcal I$-convergent sequences
, 2023 We study the space $c_{0,\mathcal{I}}$ of all bounded sequences $(x_n)$ that $\mathcal{I}$-converge to $0$, endowed with the sup norm, where $\mathcal{I}$ is an ideal of subsets of $\mathbb{N}$. We show that two such spaces, $c_{0,\mathcal{I}}$ and $c_{0,\mathcal{J}}$, are isometric exactly when the ideals $\mathcal{I}$ and $\mathcal{J}$ are isomorphic.
Rincón-Villamizar, Michael A. +1 more
openaire +2 more sources
Multipliers for p-Bessel Sequences in Banach Spaces [PDF]
Integral Equations and Operator Theory, 2010 17 ...
Rahimi, Asghar, Balazs, Peter
openaire +3 more sources
V-Proximal Trustworthy Banach Spaces
Journal of Function Spaces, 2020 In a recent work (2016), the first author proved the fuzzy sum rule for the V-proximal subdifferential under some natural assumptions on an equivalent norm of the Banach spaces.
Messaoud Bounkhel, Mostafa Bachar
doaj +1 more source
Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces
InPrime, 2022 The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing
Ainun Sukmawati Al Idrus +4 more
doaj +1 more source
On spreading $c_0$-sequences in Banach spaces [PDF]
Studia Mathematica, 1999 The author introduces the notions of spreading-\((s)\) and spreading-\((u)\). The main results proved: spreading-\((s)\) implies spreading-\((u)\) and some necessary and sufficient conditions for spreading-\((s)\) and spreading-\((u)\).
openaire +3 more sources
On some Banach space sequences [PDF]
Bulletin of the Australian Mathematical Society, 1982 We introduce the Banach space of vector valued sequences lp, q(E), 1 ≤ p, q ≤ ∞, where E is a Banach space. Then we study the relation between lp, q(E) and the Schur multipliers of lpE, where E is taken to be some lr.
openaire +1 more source
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
Botelho, G. +3 more
openaire +3 more sources
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