Hypercyclic and supercyclic composition operator on some weighted sequence spaces

UDC 517.98 We consider a composition operator on some weighted $\ell^p(\lambda)$ spaces and describe some of its basic properties including boundedness, closed range, surjectivity, hypercyclicity, and supercyclicity.

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Datum:2026
Hauptverfasser: Srivastava, Vijay Kumar, Naudiyal, Ashish, Chandra, Harish
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2026
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/8392
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Srivastava, Vijay Kumar
Naudiyal, Ashish
Chandra, Harish
Srivastava, Vijay Kumar
Naudiyal, Ashish
Chandra, Harish
author_facet Srivastava, Vijay Kumar
Naudiyal, Ashish
Chandra, Harish
Srivastava, Vijay Kumar
Naudiyal, Ashish
Chandra, Harish
author_sort Srivastava, Vijay Kumar
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2026-03-21T13:38:38Z
description UDC 517.98 We consider a composition operator on some weighted $\ell^p(\lambda)$ spaces and describe some of its basic properties including boundedness, closed range, surjectivity, hypercyclicity, and supercyclicity.
doi_str_mv 10.3842/umzh.v77i5.8392
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spelling umjimathkievua-article-83922026-03-21T13:38:38Z Hypercyclic and supercyclic composition operator on some weighted sequence spaces Hypercyclic and supercyclic composition operator on some weighted sequence spaces Srivastava, Vijay Kumar Naudiyal, Ashish Chandra, Harish Srivastava, Vijay Kumar Naudiyal, Ashish Chandra, Harish Composition Operators, Hypercyclicity, Supercyclicity 47B33, 47A16 UDC 517.98 We consider a composition operator on some weighted $\ell^p(\lambda)$ spaces and describe some of its basic properties including boundedness, closed range, surjectivity, hypercyclicity, and supercyclicity. УДК 517.98 Гіперциклічний і суперциклічний оператор композиції на деяких зважених просторах послідовностей Розглянуто оператор композиції на деяких вагових просторах $\ell^p(\lambda)$ та описано деякі його базові властивості, зокрема обмеженість, замкненість області значень, сюр'єктивність, гіперциклічність і суперциклічність. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8392 10.3842/umzh.v77i5.8392 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 5 (2025); 371–372 Український математичний журнал; Том 77 № 5 (2025); 371–372 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8392/10528 Copyright (c) 2025 Vijay Kumar Srivastava, Ashish Naudiyal, Harish Chandra
spellingShingle Srivastava, Vijay Kumar
Naudiyal, Ashish
Chandra, Harish
Srivastava, Vijay Kumar
Naudiyal, Ashish
Chandra, Harish
Hypercyclic and supercyclic composition operator on some weighted sequence spaces
title Hypercyclic and supercyclic composition operator on some weighted sequence spaces
title_alt Hypercyclic and supercyclic composition operator on some weighted sequence spaces
title_full Hypercyclic and supercyclic composition operator on some weighted sequence spaces
title_fullStr Hypercyclic and supercyclic composition operator on some weighted sequence spaces
title_full_unstemmed Hypercyclic and supercyclic composition operator on some weighted sequence spaces
title_short Hypercyclic and supercyclic composition operator on some weighted sequence spaces
title_sort hypercyclic and supercyclic composition operator on some weighted sequence spaces
topic_facet Composition Operators
Hypercyclicity
Supercyclicity
47B33
47A16
url https://umj.imath.kiev.ua/index.php/umj/article/view/8392
work_keys_str_mv AT srivastavavijaykumar hypercyclicandsupercycliccompositionoperatoronsomeweightedsequencespaces
AT naudiyalashish hypercyclicandsupercycliccompositionoperatoronsomeweightedsequencespaces
AT chandraharish hypercyclicandsupercycliccompositionoperatoronsomeweightedsequencespaces
AT srivastavavijaykumar hypercyclicandsupercycliccompositionoperatoronsomeweightedsequencespaces
AT naudiyalashish hypercyclicandsupercycliccompositionoperatoronsomeweightedsequencespaces
AT chandraharish hypercyclicandsupercycliccompositionoperatoronsomeweightedsequencespaces