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Speaker: |
Fedor Sukochev, U. New South Wales
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Title: |
Invariant subspaces and upper triangular forms for classes of infinite dimensional operators
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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 new results concerning triangular form of unbounded operators
affiliated with finite von Neumann algebras and some speculation about invariant subspace problems for elements of finite von
Neumann algebras.(Joint work with Ken Dykema and Dmitriy Zanin).
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G |
ruppo di |
R |
icerca |
E |
uropeo |
F |
ranco- |
I |
taliano in |
GE |
ometria |
N |
on |
CO |
mmutativa |
roupement de |
echerche |
uropéen |
ranco |
talien en |
ométrie |
on |
mmutative |
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