Results 11 to 20 of about 46,518 (304)
On regular operators on Banach Lattices [PDF]
Acta 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
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Transcendental operators acting on slice regular functions [PDF]
Concrete 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
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Trace Operators on Regular Trees [PDF]
Analysis 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
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On the Quotients of Regular Operators [PDF]
Universal 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
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Interpolated scales of approximation spaces for regular elliptic operators on compact manifolds [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2014 We define the interpolated scales of approximation spaces, generated by regular elliptic operators on compact manifolds. The appropriate Bernstein-Jackson inequalities and application to spectral approximations of regular elliptic operators are ...
M.I. Dmytryshyn
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The Order Continuity of the Regular Norm on Regular Operator Spaces [PDF]
Abstract and Applied Analysis, 2013 We present here some sufficient conditions for the regular norm on to be order continuous, and for () to be a KB-space. In particular we deduce a characterization of the order continuity of the regular norm using L- and M-weak compactness of regular ...
Zi Li Chen, Ying Feng, Jin Xi Chen
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Fredholm property of regular hypoelliptic operators on the scales of multianisotropic spaces [PDF]
ITM 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
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Power-regular Bishop operators and spectral decompositions [PDF]
, 2021 It is proved that a wide class of Bishop-type operators $T_{\phi,\tau}$ are power-regular operators in $L^p(\Omega, \mu)$, $1 \leq p < \infty$, computing the exact value of the local spectral radius at any function $u \in L^p(\Omega, \mu)$.
Gallardo Gutiérrez, Eva Antonia +1 more
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Regular and completely regular differential operators [PDF]
Mathematical Notes, 2007 We define the concept of completely regular ordinary differential operators and give various criteria for operators to belong to this class. We give also criteria for Birkhof regularity of ordinary differential operators in terms of the growth of the Green function and basis property.
Shiryaev, E. A., Shkalikov, A. A.
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Some Results on Non-Archimedean Operators Theory [PDF]
Sahand 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
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