Type: Seminar

Distribution: World

Auth: afish@p617.pc (assumed)

========================================================= 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). ---------------------------------------------------------