Continuity of operator functions

Edwin Wagner

Displaying similar documents to “Continuity of operator functions”

Convergence of a sequence of fixed points in a uniform space

S. P. Acharya (1976)

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Sets of uniform convergence

Luisa Pedemonte (1975)

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Some remarks on sets of uniform convergence

Leonede De-Michele (1978)

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On sets of completely uniform convergence

Paolo Maurizio Soardi, Giancarlo Travaglini (1981)

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Uniform topology onEQ-algebras

Jiang Yang, Xiao Long Xin, Peng Fei He (2017)

Open Mathematics

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In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated. In particular, we show that (E, 𝒯) is a first-countable, zero-dimensional, disconnected and completely regular space. Finally, by using convergence of nets, the convergence of topological EQ-algebras is obtained.

A note on the convergence of transfinite sequences

Pavel Kostyrko (1981)

Mathematica Slovaca

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𝓤-filters and uniform compactification

Tomi Alaste (2012)

Studia Mathematica

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We show that the uniform compactification of a uniform space (X,𝓤) can be considered as a space of filters on X. We apply these filters to study the ℒ𝓤𝓒-compactification of a topological group.