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Full-Text Articles in Physical Sciences and Mathematics
The Composition Of Operator-Valued Measurable Functions Is Measurable, Albert Badrikian, G. W. Johnson, Il Yoo
The Composition Of Operator-Valued Measurable Functions Is Measurable, Albert Badrikian, G. W. Johnson, Il Yoo
Department of Mathematics: Faculty Publications
Given separable Frechet spaces, E, F , and G , let L(E, F), L(F, G), and L(E, G) denote the space of continuous linear operators from E to F , F to G, and E to G, respectively. We topologize these spaces of operators by any one of a family of topologies including the topology of point-wise convergence and the topology of compact convergence. We will show that if (X, F) is any measurable space and both A: X → L(E, F) and B: X → L(F, G) are Borelian, then the operator composition BA: X → L(E, G) is …
Generalized Geynman Integrals: The 𝓛(L2, L2) Theory, Chull Park, David Skough
Generalized Geynman Integrals: The 𝓛(L2, L2) Theory, Chull Park, David Skough
Department of Mathematics: Faculty Publications
In this paper we develop an 𝓛(L2(R), L2(R)) theory for the Feynman integral of functionals of general stochastic processes.