Conference proceeding
Noncommutative Formal Power Series and Noncommutative Functions
2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), pp 3842-3847
01 Jan 2011
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Abstract
In various applications of formal power series, their evaluations on linear operators (acting on an infinite-dimensional Hilbert space) or on square matrices (of any size or of size large enough) play an important role and allow one to develop a noncommutative analog of analytic function theory. On the other hand, functions defined on square matrices of any size which respect direct sums and similarities and satisfy a local boundedness condition behave in many ways as analytic functions and have power series expansions - a noncommutative analogue of Taylor series. We will discuss convergence of noncommutative power series and analyticity of noncommutative functions.
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Details
- Title
- Noncommutative Formal Power Series and Noncommutative Functions
- Creators
- Dmitry S. Kaliuzhnyi-Verbovetskyi - Drexel UniversityIEEEMarie C Kaifer-Zajdowicz - Pediatrics
- Publication Details
- 2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), pp 3842-3847
- Series
- IEEE Conference on Decision and Control
- Publisher
- IEEE
- Number of pages
- 6
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Pediatrics; Mathematics
- Web of Science ID
- WOS:000303506204075
- Scopus ID
- 2-s2.0-84860701054
- Other Identifier
- 991019330809704721
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- Automation & Control Systems