Topological algebras of random elements

• Autorzy: Bertram M. Schreiber , M. Victoria Velasco
• Języki publikacji: EN

Abstrakty

EN

Let L₀(Ω;A) be the Fréchet space of Bochner-measurable random variables with values in a unital complex Banach algebra A. We study L₀(Ω;A) as a topological algebra, investigating the notion of spectrum in L₀(Ω;A), the Jacobson radical, ideals, hulls and kernels. Several results on automatic continuity of homomorphisms are developed, including versions of well-known theorems of C. Rickart and B. E. Johnson.

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 46H25: Normed modules and Banach modules, topological modules (if not placed in \SbjNo 13-XX or \SbjNo 16-XX)
• 60B11: Probability theory on linear topological spaces
• 46H40: Automatic continuity
• 60B05: Probability measures on topological spaces
• 46H05: General theory of topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2016
• Tom: 233
• Numer: 2
• Strony: 101-117

Daty

wydano

2016

Twórcy

autor

Bertram M. Schreiber

• Department of Mathematics, Wayne State University, Detroit, MI 48202, U.S.A.

autor

M. Victoria Velasco

• Dpto. de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Identyfikatory

DOI

10.4064/sm7938-4-2016