Ergodic theorems for nonlinear contraction semigroups in a Hilbert space. [Kernels, ergodic theorems, nonlinear contraction]
Two ergodic theorems are presented for means of nonlinear contraction semigroups in a Hilbert space. These means are generated by a class of averaging kernels which includes the usual Abel and Cesaro-(C,..cap alpha..) kernels. 7 references.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 5992475
- Report Number(s):
- ANL-79-50
- Country of Publication:
- United States
- Language:
- English
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657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
ERGODIC HYPOTHESIS
GROUP THEORY
HILBERT SPACE
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657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
ERGODIC HYPOTHESIS
GROUP THEORY
HILBERT SPACE
HYPOTHESIS
KERNELS
MATHEMATICAL SPACE
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NONLINEAR PROBLEMS
SPACE
TOPOLOGICAL MAPPING
TRANSFORMATIONS