NON COMMUTATIVE ERGODIC THEOREMS ON VON NEUMANN ALGEBRAS.
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.
Description
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.