On the Dynamics of Weighted Composition Operators Article Swipe

PDF

Nilson C. Bernardes , A. Bonilla , João Victor de Oliveira Pinto ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2506.04476

We study the properties of power-boundedness, Li-Yorke chaos, distributional chaos, absolutely Cesàro boundedness and mean Li-Yorke chaos for weighted composition operators on $L^p(μ)$ spaces and on $C_0(Ω)$ spaces. We illustrate the general results by presenting several applications to weighted shifts on the classical sequence spaces $c_0(\mathbb{N})$, $c_0(\mathbb{Z})$, $\ell^p(\mathbb{N})$ and $\ell^p(\mathbb{Z})$ ($1 \leq p < \infty$) and to weighted translation operators on the classical function spaces $C_0[1,\infty)$, $C_0(\mathbb{R})$, $L^p[1,\infty)$ and $L^p(\mathbb{R})$ ($1 \leq p < \infty$).

Related Topics

General Dynamics F-16 Fighting Falcon

Group Dynamics

General Dynamics F-111 Aardvark

General Dynamics F-16 Fighting Falcon Variants

General Dynamics

General Dynamics F-16 Fighting Falcon Operators

General Dynamics F-16Xl

Composition Of The Human Body

Children (Composition)

General Dynamics–Grumman F-111B

General Dynamics Ajax

Stall (Fluid Dynamics)

Concepts

No concepts available.

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2506.04476
PDF: https://arxiv.org/pdf/2506.04476
OA Status: green
OpenAlex ID: https://openalex.org/W4416075889

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4416075889

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2506.04476

Digital Object Identifier
Title: On the Dynamics of Weighted Composition Operators

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2025

Year of publication
Publication date: 2025-06-04

Full publication date if available
Authors: Nilson C. Bernardes, A. Bonilla, João Victor de Oliveira Pinto

List of authors in order
Landing page: https://arxiv.org/abs/2506.04476

Publisher landing page
PDF URL: https://arxiv.org/pdf/2506.04476

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2506.04476

Direct OA link when available
Cited by: 0

Total citation count in OpenAlex

Full payload

id	https://openalex.org/W4416075889
doi	https://doi.org/10.48550/arxiv.2506.04476
ids.doi	https://doi.org/10.48550/arxiv.2506.04476
ids.openalex	https://openalex.org/W4416075889
fwci
type	preprint
title	On the Dynamics of Weighted Composition Operators
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
is_xpac	False
apc_list
apc_paid
language	en
locations[0].id	pmh:oai:arXiv.org:2506.04476
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license
locations[0].pdf_url	https://arxiv.org/pdf/2506.04476
locations[0].version	submittedVersion
locations[0].raw_type	text
locations[0].license_id
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2506.04476
locations[1].id	doi:10.48550/arxiv.2506.04476
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license	cc-by
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id	https://openalex.org/licenses/cc-by
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2506.04476
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5084148789
authorships[0].author.orcid	https://orcid.org/0000-0003-1883-7629
authorships[0].author.display_name	Nilson C. Bernardes
authorships[0].author_position	first
authorships[0].raw_author_name	Bernardes Jr., Nilson C.
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5064524361
authorships[1].author.orcid	https://orcid.org/0000-0002-7523-0690
authorships[1].author.display_name	A. Bonilla
authorships[1].author_position	middle
authorships[1].raw_author_name	Bonilla, Antonio
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5102606830
authorships[2].author.orcid	https://orcid.org/0000-0002-1202-489X
authorships[2].author.display_name	João Victor de Oliveira Pinto
authorships[2].author_position	last
authorships[2].raw_author_name	Pinto, João V. A.
authorships[2].is_corresponding	False
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2506.04476
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	On the Dynamics of Weighted Composition Operators
has_fulltext	False
is_retracted	False
updated_date	2025-11-28T09:51:16.678281
primary_topic
cited_by_count	0
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2506.04476
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license
best_oa_location.pdf_url	https://arxiv.org/pdf/2506.04476
best_oa_location.version	submittedVersion
best_oa_location.raw_type	text
best_oa_location.license_id
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2506.04476
primary_location.id	pmh:oai:arXiv.org:2506.04476
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license
primary_location.pdf_url	https://arxiv.org/pdf/2506.04476
primary_location.version	submittedVersion
primary_location.raw_type	text
primary_location.license_id
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2506.04476
publication_date	2025-06-04
publication_year	2025
referenced_works_count	0
abstract_inverted_index.p	52, 72
abstract_inverted_index.We	0, 28
abstract_inverted_index.by	33
abstract_inverted_index.of	4
abstract_inverted_index.on	21, 25, 40, 60
abstract_inverted_index.to	37, 56
abstract_inverted_index.($1	50, 70
abstract_inverted_index.and	13, 24, 48, 55, 68
abstract_inverted_index.for	17
abstract_inverted_index.the	2, 30, 41, 61
abstract_inverted_index.<	53, 73
abstract_inverted_index.\leq	51, 71
abstract_inverted_index.mean	14
abstract_inverted_index.chaos	16
abstract_inverted_index.study	1
abstract_inverted_index.chaos,	7, 9
abstract_inverted_index.shifts	39
abstract_inverted_index.spaces	23, 44, 64
abstract_inverted_index.Cesàro	11
abstract_inverted_index.general	31
abstract_inverted_index.results	32
abstract_inverted_index.several	35
abstract_inverted_index.spaces.	27
abstract_inverted_index.Li-Yorke	6, 15
abstract_inverted_index.\infty$)	54
abstract_inverted_index.function	63
abstract_inverted_index.sequence	43
abstract_inverted_index.weighted	18, 38, 57
abstract_inverted_index.$C_0(Ω)$	26
abstract_inverted_index.$L^p(μ)$	22
abstract_inverted_index.\infty$).	74
abstract_inverted_index.classical	42, 62
abstract_inverted_index.operators	20, 59
abstract_inverted_index.absolutely	10
abstract_inverted_index.illustrate	29
abstract_inverted_index.presenting	34
abstract_inverted_index.properties	3
abstract_inverted_index.boundedness	12
abstract_inverted_index.composition	19
abstract_inverted_index.translation	58
abstract_inverted_index.applications	36
abstract_inverted_index.distributional	8
abstract_inverted_index.$L^p[1,\infty)$	67
abstract_inverted_index.$C_0[1,\infty)$,	65
abstract_inverted_index.$L^p(\mathbb{R})$	69
abstract_inverted_index.$C_0(\mathbb{R})$,	66
abstract_inverted_index.$c_0(\mathbb{N})$,	45
abstract_inverted_index.$c_0(\mathbb{Z})$,	46
abstract_inverted_index.power-boundedness,	5
abstract_inverted_index.$\ell^p(\mathbb{N})$	47
abstract_inverted_index.$\ell^p(\mathbb{Z})$	49
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	3
citation_normalized_percentile