Temat: isometric embeddings - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Asymptotically hilbertian modular Banach spaces: examples of uncountable categoricity
Autorzy:: Henson, C. Ward
Raynaud, Yves
Powiązania:: https://bibliotekanauki.pl/articles/746222.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Matematyczne
Tematy:: Banach spaces
ultrapowers
elementary equivalence
isometric embeddings
modular direct sums
Opis:: We give a criterion ensuring that the elementary class of a modular Banach space \(E\) (that is, the class of Banach spaces, some ultrapower of which is linearly isometric to an ultrapower of \(E\)) consists of all direct sums \(E\oplus_m H\), where \(H\) is an arbitrary Hilbert space and \(\oplus_m\) denotes the modular direct sum. Also, we give several families of examples in the class of Nakano direct sums of finite dimensional normed spaces that satisfy this criterion. This yields many new examples of uncountably categorical Banach spaces, in the model theory of Banach space structures.
Źródło:: Commentationes Mathematicae; 2016, 56, 1
0373-8299
Pojawia się w:: Commentationes Mathematicae
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Median and quasi-median direct products of graphs
Autorzy:: Brešar, Boštjan
Jha, Pranava
Klavžar, Sandi
Zmazek, Blaž
Powiązania:: https://bibliotekanauki.pl/articles/744332.pdf
Data publikacji:: 2005
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: median graph
direct product
quasi-median graph
isometric embeddings
convexity
Opis:: Median graphs are characterized among direct products of graphs on at least three vertices. Beside some trivial cases, it is shown that one component of G×P₃ is median if and only if G is a tree in that the distance between any two vertices of degree at least 3 is even. In addition, some partial results considering median graphs of the form G×K₂ are proved, and it is shown that the only nonbipartite quasi-median direct product is K₃×K₃.
Źródło:: Discussiones Mathematicae Graph Theory; 2005, 25, 1-2; 183-196
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Tree-like isometric subgraphs of hypercubes
Autorzy:: Brešar, Bostjan
Imrich, Wilfried
Klavžar, Sandi
Powiązania:: https://bibliotekanauki.pl/articles/743405.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: isometric embeddings
partial cubes
expansion procedures
trees
median graphs
graph automorphisms
automorphism groups
dismantlable graphs
Opis:: Tree-like isometric subgraphs of hypercubes, or tree-like partial cubes as we shall call them, are a generalization of median graphs. Just as median graphs they capture numerous properties of trees, but may contain larger classes of graphs that may be easier to recognize than the class of median graphs. We investigate the structure of tree-like partial cubes, characterize them, and provide examples of similarities with trees and median graphs. For instance, we show that the cube graph of a tree-like partial cube is dismantlable. This in particular implies that every tree-like partial cube G contains a cube that is invariant under every automorphism of G. We also show that weak retractions preserve tree-like partial cubes, which in turn implies that every contraction of a tree-like partial cube fixes a cube. The paper ends with several Frucht-type results and a list of open problems.
Źródło:: Discussiones Mathematicae Graph Theory; 2003, 23, 2; 227-240
2083-5892
Pojawia się w:: Discussiones Mathematicae Graph Theory
Dostawca treści:: Biblioteka Nauki

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