Add to ORKGSince F. Riesz showed in 1909 that the dual of C[0, 1] is BV[0, 1] (the functions of bounded variation on [0, 1] with II g IIBV = V(g)) via the Stieltjes integral, obtaining representations for linear operators in various settings has been a problem of interest. This paper shows the historical manner of representations, the road map type theorems and representations obtained via the v-integral. (44 pages
By the Riesz representation theorem, for every linear functional F : C[0; 1] → ℝ there is a function...
Abstract. We review the development of the theory of integra-tion with respect to a vector measure w...
summary:In the paper, we show that the space of functions of bounded variation and the space of regu...
Since F. Riesz showed in 1909 that the dual of C[0,1] is BV[0,1] (the functions of bounded variation...
This paper presents a formal proof of the Riesz representation theorem in the PVS theorem prover. Th...
summary:We present two types of representation theorems: one for linear continuous operators on spac...
summary:We present two types of representation theorems: one for linear continuous operators on spac...
summary:We present two types of representation theorems: one for linear continuous operators on spac...
Since F. Riesz showed in 1909 that the dual of C[0,l] is BV[0,l] (the functions of bounded variation...
Integral representations for linear functionals on the vector space C of real-valued continuous func...
Duality between the space of continuous functions and the space of bounded variations functions can ...
Duality between the space of continuous functions and the space of bounded variations functions can ...
Duality between the space of continuous functions and the space of bounded variations functions can ...
summary:Fundamental results concerning Stieltjes integrals for functions with values in Banach space...
summary:Fundamental results concerning Stieltjes integrals for functions with values in Banach space...
By the Riesz representation theorem, for every linear functional F : C[0; 1] → ℝ there is a function...
Abstract. We review the development of the theory of integra-tion with respect to a vector measure w...
summary:In the paper, we show that the space of functions of bounded variation and the space of regu...
Since F. Riesz showed in 1909 that the dual of C[0,1] is BV[0,1] (the functions of bounded variation...
This paper presents a formal proof of the Riesz representation theorem in the PVS theorem prover. Th...
summary:We present two types of representation theorems: one for linear continuous operators on spac...
summary:We present two types of representation theorems: one for linear continuous operators on spac...
summary:We present two types of representation theorems: one for linear continuous operators on spac...
Since F. Riesz showed in 1909 that the dual of C[0,l] is BV[0,l] (the functions of bounded variation...
Integral representations for linear functionals on the vector space C of real-valued continuous func...
Duality between the space of continuous functions and the space of bounded variations functions can ...
Duality between the space of continuous functions and the space of bounded variations functions can ...
Duality between the space of continuous functions and the space of bounded variations functions can ...
summary:Fundamental results concerning Stieltjes integrals for functions with values in Banach space...
summary:Fundamental results concerning Stieltjes integrals for functions with values in Banach space...
By the Riesz representation theorem, for every linear functional F : C[0; 1] → ℝ there is a function...
Abstract. We review the development of the theory of integra-tion with respect to a vector measure w...
summary:In the paper, we show that the space of functions of bounded variation and the space of regu...