Results 21 to 30 of about 1,127,269 (277)

Uniform Continuity of POVMs [PDF]

International Journal of Theoretical Physics, 2013
16 pages.
openaire   +2 more sources

A NOTE ON ALMOST UNIFORM CONTINUITY OF BOREL FUNCTIONS ON POLISH METRIC SPACES

Проблемы анализа, 2022
With a simple short proof, this article improves a classical approximation result of Lusin’s type; specifically, it is shown that, on any given finite Borel measure space with the ambient space being a Polish metric space, every Borel real-valued ...
Y.-L. Chou
doaj   +1 more source

Continuous uniformities

Mathematische Annalen, 1970
Mathematics Technical ...
ALO, R.A., SHAPIRO, H.L.
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Characterization of Absolute and Uniform Continuity

Hacettepe Journal of Mathematics and Statistics, 2020
In the present paper, by considering nonlinear integral operators and using their approximations via regular summability methods, we obtain characterizations for some function spaces including the space of absolutely continuous functions, the space of uniformly continuous functions, and their other variants.
İsmail ASLAN, Oktay DUMAN
openaire   +4 more sources

Convolution Product for Hilbert $C^*$-Module Valued Maps [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we introduce a convolution-type product for  strongly integrable Hilbert $C^*$-module valued maps on locally compact groups. We investigate various properties of this product related to uniform continuity, boundless, etc.
Mawoussi Todjro, Yaogan Mensah
doaj   +1 more source

Strong Proximal Continuity and Convergence

Abstract and Applied Analysis, 2013
In several situations the notion of uniform continuity can be strengthened to strong uniform continuity to produce interesting properties, especially in constrained problems. The same happens in the setting of proximity spaces.
Agata Caserta, Roberto Lucchetti, Som Naimpally   +2 more
doaj   +1 more source

Heat Transfer Study of the Ferrofluid Flow in a Vertical Annular Cylindrical Duct under the Influence of a Transverse Magnetic Field

Fluids, 2021
We studied the laminar fully developed ferrofluid flow and heat transfer phenomena of an otherwise magnetic fluid into a vertical annular duct of circular cross-section and uniform temperatures on walls which were subjected to a transverse external ...
Panteleimon A. Bakalis, Polycarpos K. Papadopoulos, Panayiotis Vafeas   +2 more
doaj   +1 more source

Strong continuity for the 2D Euler equations [PDF]

, 2015
We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution.
Spirito, Stefano, Crippa, Gianluca, Semenova, Elizaveta   +2 more
core   +1 more source

On certain new notion of order Cauchy sequences, continuity in (l)-group

Applied General Topology, 2022
In this paper, we introduce the notion order quasi-Cauchy se-quences, downward and upward order quasi-cauchy sequences, order half Cauchy sequences.
Sudip Kumar Pal, Sagar Chakraborty
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Oscillation and modulus of continuity in uniform spaces

Applied General Topology
The present paper introduces oscillation and modulus of continuity for functions on uniform spaces. Classical results are established in this framework.
Josiney A. Souza, Richard W. M. Alves
doaj   +1 more source