The Bochner-Radon-Nikodym theory for vector-valued measures

In this paper, we investigate the vector-valued measures, absolutely continuous measures, and the Bochner-Radon-Nikodym property for Banach spaces. These types of studies have a plethora of applications in stochastic processes, representation theory, and recently in neural nets. We establish the necessary and sufficient conditions that Banach space possesses the Radon-Nikodym property.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-01-15
DOI
https://doi.org/10.5281/zenodo.14776042
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Bochner-Radon-Nikodym theory for vector-valued measures

Zenodo (CERN European Organization for Nuclear Research)
Advanced Banach Space Theory
article

The Bochner-Radon-Nikodym theory for vector-valued measures

article en

Abstract

In this paper, we investigate the vector-valued measures, absolutely continuous measures, and the Bochner-Radon-Nikodym property for Banach spaces. These types of studies have a plethora of applications in stochastic processes, representation theory, and recently in neural nets. We establish the necessary and sufficient conditions that Banach space possesses the Radon-Nikodym property.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 54%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The Bochner-Radon-Nikodym theory for vector-valued measures · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS