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BANACH-STONE-LIKE THEOREMS FOR LATTICES OF UNIFORMLY CONTINUOUS FUNCTIONS
New couples of uniform spaces X, Y are found out for which a lattice isomorphism between U (X) and U (Y) implies a uniform homeomorphism between X and Y....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Lattice influence on the excited state relaxation
We study optical properties of two sets of alkali halide crystals, one with a uniform anion, the other with a uniform cation in the lattice, both sets are doped with divalent lead......
BM - Fyzika pevných látek a magnetismus
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lattices of uniformly continuous functions determine their sublattices of bounded functions
If two uniform spaces have isomorphic lattices of their uniformly continuous real-valued functions then also their sublattices of bounded functions are isomorphic. That result is used to give a different correct proof of Shirota the...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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When lattices of uniformly continuous functions on X determine X
Several Banach-Stone-like generalizations of Shirota's result for metrizable uniform spaces are proved. Namely, if complete uniform spaces X, Y have isomorphic lattices U(X), U(Y) of their real-valued uniformly continuous f...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Almost Orthogonality and Hausdorff Interval Topologies of de Morgan Lattices and Lattice Effect Algebras
by a canonical intrinsic uniformity generated by a certain family of pseudometrics on de Morgan lattices. This uniformity and topology may be regarded as a ?two-sided symmetrization? of a similar intrinsic uniformity
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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LATTICES OF UNIFORMLY CONTINUOUS FUNCTIONS
We obtain an internal characterization of the lattice U(X) of real-valued uniformly continuous functions on a uniform space X.
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On a Particular Class of Lattice-valued Possibilistic Distributions
of the unit interval of real numbers. Uniform and lexicographic partial orderings on the spaceof these sequences are defined and the related complete lattices introduced. Lattice-valued entropy function is defined in the c...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Recent progress on characterizing lattices C(X) and U(Y)
A unified approach to characterizations of the set of continuous or uniform real-valued functions, considered as Riesz spaces, l-groups and lattices, is given. In general, a categorical approach is used....
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Discretization of Superintegrable Systems on a Plane
We construct difference analogues of so called Smorodinsky-Winternitz superintegrable systems in the Euclidean plane. Using methods of umbral calculus, we obtain difference equations for generalized isotropic harmonic oscillator on the uniform
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Discrete modeling of elastic heterogeneous media
be introduced into elastically uniform lattice models via random assignments of material aspects of elastic behavior. The capabilities of Voronoi-cell lattice models, which are a form of particle -based lattice mo...
Construction engineering, Municipal and structural engineering
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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