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Journal article
Induced Stinespring Factorization and the Wittstock Support Theorem
Resultate der Mathematik, v 78(4), 135
01 Aug 2023
Abstract
Given a pair of self-adjoint-preserving completely bounded maps on the same
C
∗
-algebra, say that
φ
≤
ψ
if the kernel of
φ
is a subset of the kernel of
ψ
and
ψ
∘
φ
-
1
is completely positive. The
Agler class
of a map
φ
is the class of
ψ
≥
φ
.
Such maps admit colligation formulae, and, in Lyapunov type situations, transfer function type realizations on the Stinespring coefficients of their Wittstock decompositions. As an application, we prove that the support of an extremal Wittstock decomposition is unique.
Metrics
Details
- Title
- Induced Stinespring Factorization and the Wittstock Support Theorem
- Creators
- J. E. Pascoe - University of FloridaRyan Tully-Doyle - Mathematics Department, Cal Poly, SLO, San Luis Obispo
- Publication Details
- Resultate der Mathematik, v 78(4), 135
- Publisher
- Springer International Publishing
- Grant note
- 2055098 / Division of Mathematical Sciences (http://dx.doi.org/10.13039/100000121) 1953963 / Division of Mathematical Sciences (http://dx.doi.org/10.13039/100000121)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000980094600002
- Scopus ID
- 2-s2.0-85156218469
- Other Identifier
- 991021879624904721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics
- Mathematics, Applied