PreprintCC BY 4.0arXiv
A Bootstrap Proof of the Abstract Wiener Space Theorem for Fréchet Spaces
Abstract
In this paper, we provide an alternative proof of a result due to Gross (1960s), extending it to the Fréchet space setting. Our argument adapts the proof technique developed by Bogachev in the Banach case, as presented in the monograph Gaussian Measures, to the more general framework of separable Fréchet spaces, simplifying several steps along the way.
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BibTeX
@misc{tubaro2026bootstrap,
title = {{A Bootstrap Proof of the Abstract Wiener Space Theorem for Fréchet Spaces}},
author = {Luciano Tubaro},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.04446},
eprint = {2609.04446},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.04446},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A Bootstrap Proof of the Abstract Wiener Space Theorem for Fréchet Spaces
AU - Luciano Tubaro
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.04446
UR - https://arxiv.org/abs/2609.04446
AB - In this paper, we provide an alternative proof of a result due to Gross (1960s), extending it to the Fréchet space setting. Our argument adapts the proof technique developed by Bogachev in the Banach case, as presented in the monograph Gaussian Measures, to the more general framework of separable Fréchet spaces, simplifying several steps along the way.
ER -