The Hille-Yosida generation theorem for almost surely bounded $C_{0}$--semigroups of continuous module homomorphisms$^1$

zbMath1487.47074arXiv2003.13477MaRDI QIDQ3389131

Tie-Xin Guo, Ming Liu, Xia Zhang

Publication date: 7 May 2021

Full work available at URL: https://arxiv.org/abs/2003.13477

zbMATH Keywords

random normed modulegeneration theoremalmost surely bounded \(C_0\)-semigroupcontinuous module homomorphism

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Generalized stochastic processes (60G20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Probability theory on linear topological spaces (60B11)

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