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pro vyhledávání: '"G Ya Areshkin"'
Autor:
G. Ya. Areshkin
Publikováno v:
Journal of Mathematical Sciences. 115:2731-2734
The notion of coordinates for a linear continuous transformation of a Hilbert space is introduced. A complete solvability theory of functional equations of the first and second kind whose kernels have orthogonal coordinates is constructed, and all so
Autor:
G. Ya. Areshkin
Publikováno v:
Journal of Mathematical Sciences. 107:3963-3971
We prove some statements on the decomposition of indefinite integrals of scalar functions with respect to a vector measure. We also consider continuous linear operators acting from the fundamental Banach space \(X\left( {T,{\sigma ,\mu }} \right)\) t
Publikováno v:
Russian Mathematical Surveys. 30:155-160
Autor:
G. Ya. Areshkin
Publikováno v:
Journal of Soviet Mathematics. 47:2903-2907
Let X be the F-space of the functions x(t) defined on the measurable space (T, Σ, μ) with values in B-space Y. We consider the operators f mapping X to the B-space Z. X, Y, and Z are considered over the scalar field R. To each operator f is associa