Geodesic
Topological algebras of random elements
Bertram M. Schreiber 1   ; M. Victoria Velasco 2
1 Department of Mathematics Wayne State University Detroit, MI 48202, U.S.A.
2 Dpto. de Análisis Matemático Facultad de Ciencias Universidad de Granada 18071 Granada, Spain
Studia Mathematica, Tome 233 (2016) no. 2, pp. 101-117 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $L_0(\varOmega ;A)$ be the Fréchet space of Bochner-measurable random variables with values in a unital complex Banach algebra $A$. We study $L_0(\varOmega ;A)$ as a topological algebra, investigating the notion of spectrum in $L_0(\varOmega ;A)$, 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.
DOI : 10.4064/sm7938-4-2016
Keywords: varomega chet space bochner measurable random variables values unital complex banach algebra study varomega topological algebra investigating notion spectrum varomega jacobson radical ideals hulls kernels several results automatic continuity homomorphisms developed including versions well known theorems rickart johnson

Bertram M. Schreiber  1   ; M. Victoria Velasco  2

1 Department of Mathematics Wayne State University Detroit, MI 48202, U.S.A.
2 Dpto. de Análisis Matemático Facultad de Ciencias Universidad de Granada 18071 Granada, Spain 
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Bertram M. Schreiber; M. Victoria Velasco. Topological algebras of random elements. Studia Mathematica, Tome 233 (2016) no. 2, pp. 101-117. doi: 10.4064/sm7938-4-2016

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