Analysis and Geometry Seminar

**Link to Previous Semesters**

**Fall 2021**

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**Tuesdays, 11:00 am

Ladd 114

Abstract:

Doğan Çömez: **Ergodic Theorems in Fully
Symmetric Banach Spaces **

**Abstract:
**Fully symmetric Banach spaces are
large function spaces that include classical Banach spaces. Some
well-known examples of spaces of this kind are Orlicz Spaces,
Lorentz Spaces and Marcinkiewicz Spaces. Although these spaces
are studied extensively in the functional analysis literature,
investigation of convergence of ergodic averages in such spaces
is fairly recent. In this talk, first we will provide a brief
review of symmetric Banach spaces, then we will give necessary
and sufficient conditions for almost uniform convergence of
ergodic averages. These, in turn, will be utilized in extending
several ergodic theorems to the setting of fully symmetric
Banach spaces.

Morgan O'Brien:
**A noncommutative return times theorem (Part
3) **

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Morgan O'Brien: **A noncommutative return times
theorem (Part 2)**

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