NON COMMUTATIVE ERGODIC THEOREMS ON VON NEUMANN ALGEBRAS.

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Date
2008-06
Authors
ABDU, MADUGU
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Abstract
This work studies Ergodic Theorems on Non commutative Lp spaces over a semifinite von Neumann Algebras. Using the non commutative analogue of Marcinkiewicz interpolation theorem, we prove Stein’s maximal ergodic inequality for symmetric contractions and using this result we obtain the corresponding individual (Point wise) ergodic theorem.
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A THESIS SUBMITTED TO THE POST GRADUATE SCHOOL, AHMADU BELLO UNIVERSITY, ZARIA NIGERIA IN PARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE DEGREE OF MASTER OF SCIENCE (M.Sc.) IN MATHEMATICS JUNE, 2008
Keywords
COMMUTATIVE,, ERGODIC,, THEOREMS,, NEUMANN,, ALGEBRAS.
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