## EVENT DETAILS AND ABSTRACT

**Analysis and Probability Seminar**
**Title:** The limit of the product of the parameterized exponential of two operators

**Speaker:** Gaspar Porta

**Speaker Info:** University of Illinois, Chicago

**Brief Description:**

**Special Note**:

**Abstract:**

Given two self-adjoint, positive, compact operators $A$, $B$ on a
separable Hilbert space, we show that $\lim_{t\rightarrow\infty}
(e^{\frac{Bt}{2}}e^{At}e^{\frac{Bt}{2}})^{\frac{1}{t}}$ exists in the norm
topology. Moreover, this limit operator is of the form $e^C$ with $C$
compact and nonnegative.

**Date:** Monday, April 19, 1999

**Time:** 4:00pm

**Where:** Lunt 105

**Contact Person:** Prof. Joe Jerome

**Contact email:** jwj@math.nwu.edu

**Contact Phone:** 847-491-5575

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