Results 21 to 30 of about 2,885,310 (330)

On The Spectrum Of Norlund Type Matrix Operator 𝐴 = (𝑎𝑛𝑘) On The Sequence Spaces ℓ1 And 𝑏𝑣

Eurasian Journal of Science and Engineering, 2023
In this article, we defined a Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) by 𝑎𝑛𝑘 = { 1 , 𝑘 = 𝑛 = 0 1 2 , 𝑛 − 1 ≤ 𝑘 ≤ 𝑛 0 , 𝑜𝑡ℎ𝑒𝑟𝑣𝑖𝑠𝑒 . Then we showed that the Nörlund type matrix 𝐴 = (𝑎𝑛𝑘) is a linear and bounded operator on the sequence spaces ℓ1 and 𝑏𝑣 ...
Orhan Tug
doaj   +1 more source

Spectrum and fine spectrum of the lower triangular matrix B r s t  , ,  over the sequence space cs [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2016
Fine spectra of various matrix operators on different sequence spaces have been examined by several authors. Recently, some authors have determined the approximate point spectrum, the defect spectrum and the compression spectrum of various matrix ...
Rituparna Das, Binod Chandra Tripathy
doaj  

On the fine spectra of the generalized difference operator $\Delta_{uv}$ over the sequence space $c_0$ [PDF]

Journal of Mahani Mathematical Research, 2012
The main purpose of this paper is to detemine the fine spectrum of the generalized difference operator $\Delta_{uv}$ over the sequence space c0. These results are more general than the fine spectrum of the generalized difference operator $\Delta_{uv}$ of
Javad Fathi, Rahmatollah Lashkaripour
doaj   +1 more source

The Sequence Space VσI(p)

Pan-American Journal of Mathematics, 2022
In this article we introduce the sequence spaces V0Iσ(p) and VσI(p), where p=(pk) is a sequence of positive reals and study the topology that arises on the said spaces.
Khalid Ebadullah
doaj   +1 more source

Noetherianity up to conjugation of locally diagonal inverse limits [PDF]

, 2019
We prove that the inverse limit of the sequence dual to a sequence of Lie algebras is Noetherian up to the action of the direct limit of the corresponding sequence of classical algebraic groups when the sequence of groups consists of diagonal embeddings.
Bik, Arthur
core   +2 more sources

Solvability of an infinite system of nonlinear integral equations of Volterra-Hammerstein type

Advances in Nonlinear Analysis, 2019
The purpose of the paper is to study the solvability of an infinite system of integral equations of Volterra-Hammerstein type on an unbounded interval. We show that such a system of integral equations has at least one solution in the space of functions ...
Chlebowicz Agnieszka
doaj   +1 more source

Some normed binomial difference sequence spaces related to the ℓ p $\ell_{p}$ spaces

Journal of Inequalities and Applications, 2017
The aim of this paper is to introduce the normed binomial sequence spaces b p r , s ( ∇ ) $b^{r,s}_{p}(\nabla)$ by combining the binomial transformation and difference operator, where 1 ≤ p ≤ ∞ $1\leq p\leq\infty$ .
Meimei Song, Jian Meng
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

Spaces Defined by Sequences [PDF]

Proceedings of the American Mathematical Society, 1976
The biquotient, countably biquotient, hereditarily quotient, and quotient images of q q -spaces are classified. Also, the quotient images of paracompact M M -spaces, and the quotient images of M M -spaces are classified without any separation axioms.
openaire   +2 more sources

Riesz I–convergent sequence spaces

Proyecciones (Antofagasta), 2023
In this article we have introduced some new sequence spaces  as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces.
Khan, Vakeel A., Rahman, Zahid
openaire   +3 more sources