The Agler Reducing Subspace for the Operator-Valued Inner Function Over the Bidisk
Author:
Funder
national natural science foundation of china
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00020-022-02696-2.pdf
Reference15 articles.
1. Agler, J.: On the representation of certain holomorphic functions defined on polydisc. Oper. Theory Adv. Appl. 48, 47–66 (1990)
2. Ball, J.A., Bolotnikov, V.: Realization and interpolation for Schur-Agler class functions on domains with matrix polynomial defining functions in $$\mathbb{C}^{n}$$. J. Funct. Anal. 213, 45–87 (2004)
3. Ball, J.A., Kaliuzhnyi-Verbovetskyi, D.S.: Schur-Agler and Herglotz-Agler classes of functions: positive-kernel decompositions and transfer-function realizations. Adv. Math. 280, 121–187 (2015)
4. Ball, J.A., Sadosky, C., Vinnikov, V.: Scattering systems with several evolutions and multidimensional input/state/output systems. Integral Equ. Oper. Theory 52, 323–393 (2005)
5. Bickel, K.: Fundamental Agler decomposition. Integral Equ. Oper. Theory 74, 233–257 (2012)
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