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A Continuous Version of the Littlewood–Richardson Rule and Its Application to Invariant Subspaces

✍ Scribed by Hari Bercovici; Wing Suet Li; Thomas Smotzer

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 262 KB
Volume: 134
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1997.1702

No coin nor oath required. For personal study only.

✦ Synopsis

Let T be an operator of class C 0 and M be an invariant subspace for T. We find a relationship that must hold for the Jordan models of T, T | M and T * | M = . This relationship reduces to a theorem of Green when T is algebraic, and it involves a continuous extension of Littlewood Richardson sequences.

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