Real-analytic functional calculus and strictly real Banach algebras

We use real-analytic functional calculus to show that the envelope of the algebra of $m$-variable polynomials with real coefficients, with respect to the class of strictly real Banach algebras, is isomorphic to the algebra of real-valued analytic functions on $\mathbb{R}^m$.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-03
DOI
https://doi.org/10.48550/arxiv.2611.04758
Primary Topic
Advanced Banach Space Theory
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Real-analytic functional calculus and strictly real Banach algebras

Oleg Aristov
arXiv (Cornell University)
Advanced Banach Space Theory
preprint

Real-analytic functional calculus and strictly real Banach algebras

Oleg Aristov
preprint en

Abstract

We use real-analytic functional calculus to show that the envelope of the algebra of $m$-variable polynomials with real coefficients, with respect to the class of strictly real Banach algebras, is isomorphic to the algebra of real-valued analytic functions on $\mathbb{R}^m$.

arXiv (Cornell University)
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.

Laika access coming soon
Real-analytic functional calculus and strictly real Banach algebras — Oleg Aristov · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS