Temat: extension point - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Toeplitz flows with pure point spectrum
Autorzy:: Iwanik, Anzelm
Powiązania:: https://bibliotekanauki.pl/articles/1287738.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Toeplitz sequence
Sturmian sequence
group extension
pure point spectrum
Opis:: We construct strictly ergodic 0-1 Toeplitz flows with pure point spectrum and irrational eigenvalues. It is also shown that the property of being regular is not a measure-theoretic invariant for strictly ergodic Toeplitz flows.
Źródło:: Studia Mathematica; 1996, 118, 1; 27-35
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A non-regular Toeplitz flow with preset pure point spectrum
Autorzy:: Downarowicz, T.
Lacroix, Y.
Powiązania:: https://bibliotekanauki.pl/articles/1287315.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Toeplitz sequence
pure point spectrum
strict ergodicity
group extension
Opis:: Given an arbitrary countable subgroup $σ_0$ of the torus, containing infinitely many rationals, we construct a strictly ergodic 0-1 Toeplitz flow with pure point spectrum equal to $σ_0$. For a large class of Toeplitz flows certain eigenvalues are induced by eigenvalues of the flow Y which can be seen along the aperiodic parts.
Źródło:: Studia Mathematica; 1996, 120, 3; 235-246
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Nielsen theory of transversal fixed point sets (with an appendix: $C^∞$ and $C^0$ fixed point sets are the same, by R. E. Greene)
Autorzy:: Schirmer, Helga
Powiązania:: https://bibliotekanauki.pl/articles/1214996.pdf
Data publikacji:: 1992
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: transversally fixed maps
minimal and arbitrary fixed point sets
Nielsen fixed point theory
relative and extension Nielsen numbers
Opis:: Examples exist of smooth maps on the boundary of a smooth manifold M which allow continuous extensions over M without fixed points but no such smooth extensions. Such maps are studied here in more detail. They have a minimal fixed point set when all transversally fixed maps in their homotopy class are considered. Therefore we introduce a Nielsen fixed point theory for transversally fixed maps on smooth manifolds without or with boundary, and use it to calculate the minimum number of fixed points in cases where continuous map extensions behave differently from smooth ones. In the appendix it is shown that a subset of a smooth manifold can be realized as the fixed point set of a smooth map in a given homotopy class if and only if it can be realized as the fixed point set of a continuous one. A special case of this result is used in a proof of the paper.
Źródło:: Fundamenta Mathematicae; 1992, 141, 1; 31-59
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Asymptotic stability in the Schauder fixed point theorem
Autorzy:: Shih, Mau-Hsiang
Wu, Jinn-Wen
Powiązania:: https://bibliotekanauki.pl/articles/1217906.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: fixed point
asymptotic stability
spectral radius
compact map
holomorphic map
normal family
Whitney smooth extension theorem
Opis:: This note presents a theorem which gives an answer to a conjecture which appears in the book Matrix Norms and Their Applications by Belitskiĭ and Lyubich and concerns the global asymptotic stability in the Schauder fixed point theorem. This is followed by a theorem which states a necessary and sufficient condition for the iterates of a holomorphic function with a fixed point to converge pointwise to this point.
Źródło:: Studia Mathematica; 1998, 131, 2; 143-148
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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