Results 1 to 10 of about 1,568,578 (301)

On regular operators on Banach Lattices

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
Let E and F be Banach lattices and X and Y be Banach spaces. A linear operator T:E->F is called regular if it is the difference of two positive operators. We show that F has a b-property if and only if Lr(E,F) has b-property.
Omer Gok
doaj   +2 more sources

On the Quotients of Regular Operators

open access: yesUniversal Journal of Mathematics and Applications, 2019
We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators.
Erdal Bayram   +1 more
doaj   +2 more sources

Trace Operators on Regular Trees [PDF]

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We consider different notions of boundary traces for functions in Sobolev spaces defined on regular trees and show that the almost everywhere existence of these traces is independent of the chosen definition of a trace.
Koskela Pekka   +2 more
doaj   +3 more sources

Fredholm property of regular hypoelliptic operators on the scales of multianisotropic spaces [PDF]

open access: yesITM Web of Conferences, 2022
This paper studies the Fredholm properties for a class of regular hypoelliptic operators. We establish necessary and sufficient conditions for a priori estimates for differential operators acting in multianisotropic Sobolev spaces in Rn.
Tumanyan Ani
doaj   +1 more source

Transcendental operators acting on slice regular functions

open access: yesConcrete Operators, 2022
The aim of this paper is to carry out an analysis of five trascendental operators acting on the space of slice regular functions, namely *-exponential, *-sine and *-cosine and their hyperbolic analogues. The first three of them were introduced by Colombo,
de Fabritiis Chiara
doaj   +1 more source

Some Results on Non-Archimedean Operators Theory [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, we define the notions of semi-regular operator, analytical core, surjectivity modulus and the injectivity modulus of bounded linear operators on non-Archimedean Banach spaces over $\mathbb{K}.$ We give a necessary and sufficient condition ...
Jawad Ettayb
doaj   +1 more source

History-dependent operators and prox-regular sweeping processes

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2022
We consider an abstract inclusion in a real Hilbert space, governed by an almost history-dependent operator and a time-dependent multimapping with prox-regular values.
Florent Nacry, Mircea Sofonea
doaj   +1 more source

Notion of Complex Spherical Dombi Fuzzy Graph and Its Application in Decision-Making Problems

open access: yesIEEE Access, 2023
The complex spherical fuzzy graph (CSFG), which extends the concept of a spherical fuzzy graph (SFG), proves to be a more effective means of depicting relationships among diverse objects when these relationships are subject to uncertainty.
Ehsan Mehboob Ahmed Butt   +4 more
doaj   +1 more source

On some generalized recent operators in topological Spaces

open access: yesTikrit Journal of Pure Science, 2022
In this paper we introduce a new classes of operators namely (regular generalized*, regular generalized**, generalized **regular) (briefly, rg*, rg **, g**r, respectively) in topological spaces and study some of their properties with some important ...
Siham I. Aziz, Nabila I. Aziz
doaj   +1 more source

Order Projection in OAr(E,F)

open access: yesСовременная математика: Фундаментальные направления, 2022
We investigate order projections onto different bands in the space of all regular orthogonally additive operators. In particular, we obtain formulas for calculation of the order projections onto the band generated by a directed set of positive ...
N. A. Dzhusoeva   +2 more
doaj   +1 more source

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