Drexel University - Comprehensive, integrated academics enhanced by co-operative education, technology, and research opportunities. | Drexel University
Drexel University
Quick Links
Search events. View events.

All Categories

Click for help in using calendar displays. Print the contents of the current screen.
Display Format: 
Event Details
Notify me if this event changes.Add this event to my personal calendar.
Go Back
Math Colloquium: Complexifications and Isometries
Start Date: 11/13/2019Start Time: 3:00 PM
End Date: 11/13/2019End Time: 4:00 PM

Event Description

Edward Poon, Embry-Riddle Aeronautical University

Abstract: Given a norm $\| \cdot \|$ on a real Banach space $X$, there is a smallest ‘reasonable’ complexification norm $\| \cdot \|_C$ on the complexified space $X_C$, defined by $$\| x+ iy \|_C = \sup \{\|x \cos \theta + y \sin \theta \| : \theta \in [0, 2\pi]\}$$ for $x,y \in X$. Provided $X$ has a certain finiteness condition (possessed by all finite-dimensional spaces) we characterize the isometries for $\| \cdot \|_C$ in terms of the isometries for $\| \cdot \|$.
Contact Information:
Name: Georgi Medvedev
Email: gsm29@drexel.edu
Location:
Korman Center, Room 243, 15 S. 33rd Street, Philadelphia, PA 19014
Audience:
  • Everyone
    		•

    Display Month:
    Advanced Search (New Search)
    Date Range:
    Time Range:
    Category(s):
    Audience: 

    Special Features: 

    Keyword(s):
    Submit
    Select item(s) to Search
    Select item(s) to Search
    Select item(s) to Search
    Select item(s) to Search