Bi-asymptotic c-expansivity

被引：0

作者：

Nageshwar, Rohit ^{[1
]}

Khan, Abdul Gaffar ^{[2
]}

Das, Tarun ^{[1
]}

机构：

[1] Univ Delhi, Fac Math Sci, Dept Math, Delhi 110007, India

[2] Univ Delhi, Kirori Mal Coll, Dept Math, Delhi 110007, India

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 532卷 / 01期

关键词：

Decomposition theorem; Expansive; Shadowing property; TOPOLOGICALLY ANOSOV HOMEOMORPHISMS; SPECTRAL DECOMPOSITION; NONCOMPACT; AXIOM;

D O I：

10.1016/j.jmaa.2023.127955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define bi-asymptotically c-expansive maps on metric spaces and study its relationship with other variants of expansivity such as bi-asymptotically expansive maps and N-expansive maps. We also provide an example to establish that expansive homeomorphisms need not be bi-asymptotically expansive. Finally, we prove a spectral decomposition theorem for bi-asymptotically c-expansive continuous surjective maps with the shadowing property on compact metric spaces.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：12

共 16 条

[1] Anosov D.V., 1969, P STEKLOV I MATH+, V90
[2] Aoki N., 1994, RECENT ADV N HOLLAND, V52
[3] Aoki N., 1983, Tokyo J. Math, V6, P329, DOI [10.3836/tjm/1270213874, DOI 10.3836/TJM/1270213874]
[4] PERIODIC POINTS AND MEASURES FOR AXIOM-A DIFFEOMORPHISMS
BOWEN, R
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 154 (FEB) : 377 - &
[5] BOWEN R, 1975, J DIFFER EQUATIONS, V18, P333, DOI 10.1016/0022-0396(75)90065-0
[6] N-expansive homeomorphisms with the shadowing property
Carvalho, B.
Cordeiro, W.
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (06) : 3734 - 3755
[7] CHEN L, 1992, P AM MATH SOC, V115, P573
[8] BOWEN'S DECOMPOSITION THEOREM FOR TOPOLOGICALLY ANOSOV HOMEOMORPHISMS ON NONCOMPACT AND NON-METRIZABLE SPACES
Das, Ruchi
Das, Tarun
Shah, Sejal
[J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 33 (01): : 337 - 344
[9] Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
Das, Tarun
Lee, Keonhee
Richeson, David
Wiseman, Jim
[J]. TOPOLOGY AND ITS APPLICATIONS, 2013, 160 (01) : 149 - 158
[10] Eisenberg M., 1966, Fund. Math, V59, P313

← 1 2 →