Random spectral theorems of self-adjoint random linear operators on complete complex random inner product modules

DOI10.1080/03081087.2012.689981zbMath1278.47045OpenAlexW2040438518MaRDI QIDQ4908216

Yuehan Tang

Publication date: 4 March 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.689981

zbMATH Keywords

random normed moduleself-adjointrandom normed algebrarandom linear operatorrandom C\(^\ast\)-algebrarandom spectral theorem

Mathematics Subject Classification ID

Random linear operators (47B80) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Operator theory in probabilistic metric linear spaces (47S50)

Related Items (4)

Daneš theorem in complete random normed modules ⋮ Unnamed Item ⋮ \(L^0\)-linear modulus of a random linear operator ⋮ On non-\(L^0\)-linear perturbations of random isometries in random normed modules

Cites Work

• Recent progress in random metric theory and its applications to conditional risk measures
• Relations between some basic results derived from two kinds of topologies for a random locally convex module
• Separation and duality in locally \(L^0\)-convex modules
• A basic strict separation theorem in random locally convex modules
• Random duality
• Complete random normed algebras

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