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Some procedures for extending random operators
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Published/Copyright:
January 22, 2010
Abstract
Let X and Y be separable Banach spaces and E be a subset of X. By a random operator from X into Y we mean a rule Φ that assigns to each element x ∈ X a unique Y - valued random variable Φx. Taking into account many circumstances in which the inputs are also subject to the influence of a random environment there arises the need to define the action of Φ on some random inputs. In this paper, some procedures for extending random mappings will be proposed. Some conditions under which a random mapping can be extended to apply to all X-valued random variables will be presented.
Key words.: Random mappings; random operators; action on random inputs; extension of the domain of a random mapping
Received: 2009-06-15
Published Online: 2010-01-22
Published in Print: 2009-December
© de Gruyter 2009
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Articles in the same Issue
- Asymptotic properties of random matrices of long-range percolation model
- T-Convolution and its applications to n-dimensional distributions
- Some procedures for extending random operators
- Common random fixed points for multivalued random operators without S- and T-weakly commuting random operators
- Fractional SPDEs with non-Lipschitz coefficients
Keywords for this article
Random mappings;
random operators;
action on random inputs;
extension of the domain of a random mapping
Articles in the same Issue
- Asymptotic properties of random matrices of long-range percolation model
- T-Convolution and its applications to n-dimensional distributions
- Some procedures for extending random operators
- Common random fixed points for multivalued random operators without S- and T-weakly commuting random operators
- Fractional SPDEs with non-Lipschitz coefficients
