Commutant lifting and Nevanlinna-Pick interpolation in several variables

Autor:	D., Deepak K., Pradhan, Deepak, Sarkar, Jaydeb, Timotin, Dan
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis Mathematics - Complex Variables Mathematics - Operator Algebras 30E05 47A13 47A20 34L25 47B32 47B35 32A35 32A36 32A38
Druh dokumentu:	Working Paper
Popis:	This paper concerns a commutant lifting theorem and a Nevanlinna-Pick type interpolation result in the setting of multipliers from vector-valued Drury-Arveson space to a large class of vector-valued reproducing kernel Hilbert spaces over the unit ball in $\mathbb{C}^n$. The special case of reproducing kernel Hilbert spaces includes all natural examples of Hilbert spaces like Hardy space, Bergman space and weighted Bergman spaces over the unit ball. Comment: 13 pages, revised version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1907.05439 Zobrazit plný text záznamu View this record from Arxiv