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- Frechet differentiability of the norm of L_p spaces
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- Home
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Student life & resources
Postgraduate research
- Info for new students
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- Michael Tallis PhD Research Travel Award
- Information about research theses
- Past research students
- Resources
- Entry requirements
- PhD projects
- Obtaining funding
- Application & fee information
Student services
- Help for postgraduate students
- Thesis guidelines
- School assessment policies
- Computing information
- Mathematics Drop-in Centre
- Consultation
- Statistics Consultation Service
- Academic advice
- Enrolment variation
- Changing tutorials
- Illness or misadventure
- Application form for existing casual tutors
- ARC grants Head of School sign off
- Computing facilities
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Abstract:
Let M be a von Neumann algebra and let (L_p(M), ||.||_p), 1<=p<infinity be Haagerup's L_p-space on M. It is proved that the differentiability properties of ||.||_p are precisely the same as those of classical (commutative) L_p-spaces. This resolves the problem suggested by G. Pisier and Q. Xu in their survey, 2003. The main instruments are the theories of multiple operator integrals and singular traces.
In this talk I will explain the commutative version of this result and give a general idea of the proof in the noncommutative case.
Joint work with: Denis Potapov, Fedor Sukochev and Dmitriy Zanin
Speaker
Anna Tomskova
Research Area
Pure Maths Seminar
Affiliation
UNSW
Date
Fri, 17/04/2015 - 2:00pm
Venue
RC-4082, The Red Centre, UNSW