Results 21 to 30 of about 8,297,223 (199)

Some Generalized Versions of Chevet–Saphar Tensor Norms

Mathematics, 2022
The paper is concerned with some generalized versions gE and wE of classical tensor norms. We find a Banach space E for which gE and wE are finitely generated tensor norms, and show that gE and wE are associated with the ideals of some E-nuclear ...
Ju Myung Kim
doaj   +1 more source

A New Paranormed Sequence Space Defined by Regular Bell Matrix

Dera Natung Government College Research Journal, 2023
This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ−  duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
doaj   +1 more source

Evolution Differential Equations in Fr\'echet Space with Schauder Basis [PDF]

, 2014
We consider evolution differential equations in Fr\'echet spaces that possess unconditional Schauder basis and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems.
O. Zubelevich
semanticscholar   +1 more source

Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces

Journal of Function Spaces and Applications, 2013
The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
doaj   +1 more source

On an orthogonal bivariate trigonometric Schauder basis for the space of continuous functions

Journal of Approximation Theory, 2017
In this paper we construct an orthogonal trigonometric Schauder basis in the space C ( T 2 ) which has a small growth of the polynomial degree. The polynomial degree is considered in terms of the l 1 - and l ∞ -norm.
Nadiia Derevianko, Vitalii Myroniuk, Jürgen Prestin   +2 more
semanticscholar   +1 more source

Note on bases in algebras of analytic functions on Banach spaces

Karpatsʹkì Matematičnì Publìkacìï, 2019
Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent  homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder
I.V. Chernega, A.V. Zagorodnyuk
doaj   +1 more source

g-Bases in Hilbert Spaces

Abstract and Applied Analysis, 2012
The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces. Some results about g-bases are proved. In particular, we characterize the g-bases and g-orthonormal bases. And the dual g-bases are also discussed.
Xunxiang Guo
doaj   +1 more source

Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions

Nonlinear Analysis, 2020
In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
doaj   +1 more source

Lp-maximal regularity on Banach spaces with a Schauder basis [PDF]

, 2000
. We investigate the problem of L p-maximal regularity on Banach spaces having a Schauder basis. Our results improve those of a recent paper. We also address the question of Lr-regularity in Ls spaces.
N. Kalton, G. Lancien
semanticscholar   +1 more source

On characterizations of a some classes of Schauder frames in Banach spaces [PDF]

, 2023
In this paper, we prove the following results. There exists a Banach space without basis which has a Schauder frame. There exists an universal Banach space $B$ (resp. $\tilde{B}$) with a basis (resp.
Karkri, Rafik, Kabbaj, Samir, Lafdal, Hamad Sidi   +2 more
core   +1 more source