In: Tatra Mountains Mathematical Publications, vol. 46, no. 2
Miloslav Duchoň - Peter Maličký
Detaily:
Rok, strany: 2010, 111 - 123
Kľúčové slová:
metric space, vector space, vector function, bounded variation, majored operator.
O článku:
We present a generalization of a Helly type theorem
given in
[Duchoň, M.---Maličký, P.:
\textit{A Helly theorem for functions with values in metric spaces,}
Tatra Mt. Math. Publ. \textbf{44} (2009), 159--168.]
for sequences of functions with values in metric spaces and apply it to
representations of some majored mappings on the space of continuous
functions. A generalization of the Riesz theorem is formulated and proved.
In particular, a representation of certain majored linear operators on the
space of continuous functions, into a Banach space.
Ako citovať:
ISO 690:
Duchoň, M., Maličký, P. 2010. A Helly theorem in metric spaces and majored operations. In Tatra Mountains Mathematical Publications, vol. 46, no.2, pp. 111-123. 1210-3195.
APA:
Duchoň, M., Maličký, P. (2010). A Helly theorem in metric spaces and majored operations. Tatra Mountains Mathematical Publications, 46(2), 111-123. 1210-3195.