Central subsets of Urysohn universal spaces

Piotr Niemiec

Displaying similar documents to “Central subsets of Urysohn universal spaces”

Functor of extension of $Λ$ -isometric maps between central subsets of the unbounded Urysohn universal space

Piotr Niemiec (2010)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

The aim of the paper is to prove that in the unbounded Urysohn universal space $𝕌$ there is a functor of extension of $Λ$ -isometric maps (i.e. dilations) between central subsets of $𝕌$ to $Λ$ -isometric maps acting on the whole space. Special properties of the functor are established. It is also shown that the multiplicative group $ℝ ∖ {0}$ acts continuously on $𝕌$ by $Λ$ -isometries.

On metrization of the uniformity of a product of metric spaces

Ján Borsík, Jozef Doboš (1982)

Mathematica Slovaca

Similarity:

Some remarks on Tardiff's fixed point theorem on Menger spaces.

Părău, E., Radu, V. (1997)

Portugaliae Mathematica

Similarity:

Unique solvability of a linear problem with perturbed periodic boundary values

Bahman Mehri, Mohammad H. Nojumi (1999)

Czechoslovak Mathematical Journal

Similarity:

We investigate the problem with perturbed periodic boundary values $\}\begin{matrix} y^{'''} (x) + a_{2} (x) y^{''} (x) + a_{1} (x) y^{'} (x) + a_{0} (x) y (x) = f (x), y^{(i)} (T) = c y^{(i)} (0), i = 0, 1, 2; 0 < c < 1 \end{matrix}$ with $a_{2}, a_{1}, a_{0} \in C [0, T]$ for some arbitrary positive real number $T$ , by transforming the problem into an integral equation with the aid of a piecewise polynomial and utilizing the Fredholm alternative theorem to obtain a condition on the uniform norms of the coefficients $a_{2}$ , $a_{1}$ and $a_{0}$ which guarantees unique solvability of the problem. Besides having theoretical value, this problem has also important applications since decay is a phenomenon...

Displaying similar documents to “Central subsets of Urysohn universal spaces”

Functor of extension of Λ -isometric maps between central subsets of the unbounded Urysohn universal space

On metrization of the uniformity of a product of metric spaces

Some remarks on Tardiff's fixed point theorem on Menger spaces.

Unique solvability of a linear problem with perturbed periodic boundary values

Functor of extension of $Λ$ -isometric maps between central subsets of the unbounded Urysohn universal space