Joint Colloquium: Dykema -- Invariant suspaces and upper triangular forms for classes of infinite dimensional operators

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 THE UNIVERSITY OF NEW SOUTH WALES 

 SCHOOL OF MATHEMATICS AND STATISTICS 

___________________JOINT COLLOQUIUM______________________ 

Speaker: Ken Dykema (Texas A&M University) 

Title: Invariant subspaces and upper triangular forms for classes of infinite
dimensional operators.  

When: 12:00 Tuesday 5 November 2013 

Where: RC-4082, The Red Centre, UNSW 

Abstract: 

In classical matrix theory, a matrix can be written in upper triangular form with help
of its invariant subspaces.  A similar result, due to Ringrose in 1962, holds for
compact operators on infinite dimensional Hilbert space.  Using recent results of
Haagerup and Schultz, we prove an analogous result for certain non-compact operators on
Hilbert space, namely, for those in finite von Neumann algebras.  The talk may also
include some speculation about invariant subspace problems for elements of finite von
Neumann algebras.  (Joint work with Fedor Sukochev and Dmitriy Zanin).  

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