Author: Marek Kosiek

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AUTHOR

Marek Kosiek

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Decompositions and asymptotic limit for bicontractions

2012

The asymptotic limit of a bicontraction T (that is, a pair of commuting contractions) on a Hilbert space H is used to describe a Nagy–Foias–Langer type decomposition of T. This decomposition is refined in the case when the asymptotic limit of T is an orthogonal projection. The case of a bicontraction T consisting of hyponormal (even quasinormal) contractions is also considered, where we have ST∗=S2T∗.

Mathematics::Functional Analysissymbols.namesakeMathematics::Operator AlgebrasGeneral MathematicsMathematical analysisOrthographic projectionHilbert spacesymbolsLimit (mathematics)Mathematics::Spectral TheoryType (model theory)Mathematics

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