Standard commuting dilations and liftings

• Autorzy: Santanu Dey
• Języki publikacji: EN

Abstrakty

EN

We identify how the standard commuting dilation of the maximal commuting piece of any row contraction, especially on a finite-dimensional Hilbert space, is associated to the minimal isometric dilation of the row contraction. Using the concept of standard commuting dilation it is also shown that if liftings of row contractions are on finite-dimensional Hilbert spaces, then there are strong restrictions on properties of the liftings.

Kategorie tematyczne

• 46L05: General theory of C * -algebras
• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)
• 47A15: Invariant subspaces
• 47A20: Dilations, extensions, compressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 126
• Numer: 1
• Strony: 87-94

Daty

wydano

2012

Twórcy

autor

Santanu Dey

• Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

Identyfikatory

DOI

10.4064/cm126-1-5