Browsing by Subject "Banach function spaces"
Now showing items 1-3 of 3
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An alternative approach to weighted non-commutative Banach function spaces
(Springer, 2019)We use a weighted analogue of a trace to define a weighted non-commutative decreasing rearrangement and show its relationship with the singular value function. We further show an alternative approach to constructing weighted ... -
Group actions and ergodic theory on Banach function spaces
(2014)This thesis is an account of our study of two branches of dynamical systems theory, namely the mean and pointwise ergodic theory. In our work on mean ergodic theorems, we investigate the spectral theory of integrable ... -
Maximal ergodic inequalities for Banach function spaces
(Elsevier, 2016)We analyse the Transfer Principle, which is used to generate weak type maximal inequalities for ergodic operators, and extend it to the general case of σσ-compact locally compact Hausdorff groups acting measure-preservingly ...