On non-\(L^0\)-linear perturbations of random isometries in random normed modules
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Publication:261797
DOI10.1186/1029-242X-2014-496zbMath1346.46007OpenAlexW2102497356WikidataQ59323346 ScholiaQ59323346MaRDI QIDQ261797
Yuan Zhao, Minghua Yao, Shien Zhao
Publication date: 24 March 2016
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1029-242x-2014-496
Isometric theory of Banach spaces (46B04) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)
Related Items (2)
An exponential representation for random C0–semigroups ⋮ Clarke's fixed point theorem on a complete random normed module
Cites Work
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- An \(L^0(\mathcal F,\mathbb R)\)-valued function's intermediate value theorem and its applications to random uniform convexity
- A new version of the Gleason-Kahane-Żelazko theorem in complete random normed algebras
- The Bishop-Phelps theorem in complete random normed modules endowed with the (\(\varepsilon, \lambda\))-topology
- On mean ergodic semigroups of random linear operators
- Farkas' lemma in random locally convex modules and Minkowski-Weyl type results in \(L^0(\mathcal F,R^n)\)
- Recent progress in random metric theory and its applications to conditional risk measures
- Ekeland's variational principle for an \(\overline{L}^0\)-valued function on a complete random metric space
- Relations between some basic results derived from two kinds of topologies for a random locally convex module
- Random strict convexity and random uniform convexity in random normed modules
- Representation theorems of the dual of Lebesgue-Bochner function spaces
- Extension theorems of continuous random linear operators on random domains
- On nonlinear perturbations of isometries
- Complete random normed algebras
- The relation of Banach--Alaoglu theorem and Banach--Bourbaki--Kakutani--Šmulian theorem in complete random normed modules to stratification structure
- THE WINTNER THEOREM IN UNITAL COMPLETE RANDOM NORMED ALGEBRAS
- Random spectral theorems of self-adjoint random linear operators on complete complex random inner product modules
- Stone's representation theorem of a group of random unitary operators on complete complex random inner product modules
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