Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 5, Number 1 (2011), 148-166.
Index computation for amalgamated products of product systems
The notion of amalgamation of product systems has been introduced in  which generalizes the concept of Skeide product, introduced by Skeide, of two product systems via a pair of normalized units. In this paper we show that amalgamation leads to a setup where a product system is generated by two subsystems and conversely whenever a product system is generated by two subsystems, it could be realized as an amalgamated product. We parameterize all contractive morphism from a Type I product system to another Type I product system and compute index of amalgamated product through contractive morphisms.
Banach J. Math. Anal., Volume 5, Number 1 (2011), 148-166.
First available in Project Euclid: 14 August 2011
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Mukherjee, Mithun. Index computation for amalgamated products of product systems. Banach J. Math. Anal. 5 (2011), no. 1, 148--166. doi:10.15352/bjma/1313362987. https://projecteuclid.org/euclid.bjma/1313362987