A construction of Krein spaces of analytic functions
Abstract
If $B$($z$) is a power series with operator coefficients such that multiplication by $B$($z$) is an everywhere defined transformation in ${\cal C}$(z), then a unique Krein space ${\cal D}$(B) exists which is the state space of an extended canonical linear system which is unitary with transfer function $B$($z$) and which contains ext core(B) isometrically. A canonical conjugate-isometric linear system is uniquely determined by its transfer function whenever the state space is a Pontryagin space.
Degree
Ph.D.
Advisors
Branges, Purdue University.
Subject Area
Mathematics
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