PreprintCC BY-SA 4.0arXiv
Strong law of large numbers for random semigroups in norm topology
Abstract
This paper studies the strong law of large numbers for products of random uniformly continuous semigroups in Banach spaces. We propose a novel approach by treating the product of semigroups as a solution to an integral equation and establish a version of the SLLN in norm topology for arbitrary Banach spaces.
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BibTeX
@misc{komagorov2026strong,
title = {{Strong law of large numbers for random semigroups in norm topology}},
author = {A. E. Komagorov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41346},
eprint = {2610.41346},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41346},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Strong law of large numbers for random semigroups in norm topology
AU - A. E. Komagorov
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41346
UR - https://arxiv.org/abs/2610.41346
AB - This paper studies the strong law of large numbers for products of random uniformly continuous semigroups in Banach spaces. We propose a novel approach by treating the product of semigroups as a solution to an integral equation and establish a version of the SLLN in norm topology for arbitrary Banach spaces.
ER -