Random Operators in Hilbert Space

1984 ◽  
pp. 1-29
Author(s):  
A. V. Skorohod
Keyword(s):  
Hilbert Space ◽  
Random Operators

scholarly journals A common unique fixed point theorem for two random operators in Hilbert spaces

2002 ◽  
Vol 32 (3) ◽  
pp. 177-182 ◽  
Author(s):  
Binayak S. Choudhury
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Hilbert Spaces ◽  
Closed Subset ◽  
Separable Hilbert Space ◽  
Unique Fixed Point ◽  
Random Operators ◽  
Nonempty Closed Subset ◽  
Random Fixed Point

We construct a sequence of measurable functions and consider its convergence to the unique common random fixed point of two random operators defined on a nonempty closed subset of a separable Hilbert space. The corresponding result in the nonrandom case is also obtained.

RANDOM OPERATORS IN A HILBERT SPACE

2016 ◽  
pp. 273-291
Author(s):  
Anatolii V. Skorokhod
Keyword(s):  
Hilbert Space ◽  
Random Operators

scholarly journals An iteration for finding a common random fixed point

2004 ◽  
Vol 2004 (4) ◽  
pp. 385-394
Author(s):  
Binayak S. Choudhury
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Convex Subset ◽  
Separable Hilbert Space ◽  
Iteration Scheme ◽  
Random Operators ◽  
Random Fixed Point ◽  
Random Iteration

We define a random iteration scheme and consider its convergence to a common random fixed point of two random operators defined on a convex subset of a separable Hilbert space. We also consider the case when the subset is further compact.

Hilbert Space

1993 ◽  
Author(s):  
J. R. Retherford
Keyword(s):  
Hilbert Space

A study the Spectrum for A Probabilistic Hilbert Space Operator

2017 ◽  
Vol 13 (3) ◽  
pp. 170-182
Author(s):  
Sarkesh Khalid Ridha ◽  
Keyword(s):  
Hilbert Space ◽  
Space Operator ◽  
Hilbert Space Operator
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