University of Cambridge > Talks.cam > DPMMS info aggregator > Distorting Banach spaces

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Distorting Banach spaces

Download to your calendar using vCal

  • UserProfessor Kevin Beanland (Washington & Lee University, Virginia, USA)
  • ClockWednesday 08 March 2017, 14:00-15:00
  • HouseCMS, MR14.

If you have a question about this talk, please contact HoD Secretary, DPMMS .

A Banach space $X$ with a norm $\|\cdot\|$ is called D-distortable if there is an equivalent norm $|\cdot|$ on $X$ so for each infinite-dimensional subspace $Y$ of $X$ there are vectors $x,y \in Y$ with $\|x\|=\|y\|=1$ and $|x|/|y|>D$. A space is arbitrarily distortable if it is D-distortable for every $D>1$. A result of R.C. James from the 1960s shows that the Banach spaces $\ell_1$ and $c_0$ are not distortable for any $D>1$. Shortly after this V. Milman showed that if a Banach space does not contain any $\ell_p$ or $c_0$ it must have a subspace that is $D$-distortable for some $D>1$. In the 1990s it was shown explicitly by Odell and Schlumprecht that Tsirelson’s famous space was itself $D$-distortable for each $D

This talk is part of the DPMMS info aggregator series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Average on Saturdays: 7641.81818182 kWh Statistical Laboratory International Year of Statistics Public Lectures Meeting Rooms 1&2, MRC Epidemiology Unit, Level 3, Institute of Metabolic Science, Cambridge Biomedical Campus, Cambridge CB2 0QQ

Other talks

When Programmes Disagree About Programmes: Code Poetry and the Problem of Programme–Programme Communication Quantum optics with organic molecules John Kendrew Lecture - Title TBC Title to be confirmed Max Perutz Lecture - Title TBC How Far Can Good Go Without God? The Limits of a Naturalistic Ethic
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity