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The q-numerical range of a reducible matrix via a normal operator

โœ Scribed by Mao-Ting Chien; Hiroshi Nakazato

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
270 KB
Volume
419
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

The upper numerical range of a quaternio
The upper numerical range of a quaternionic matrix is not a complex numerical range
โœ Robert C. Thompson ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 653 KB

A recent result is that the quatemionic numerical range of a matrix with quatemion entries has a convex intersection with the upper half complex plane. This intersection is now shown to be generally not achievable as the upper half plane part of the complex numerical range of any complex matrix. A k

The numerical range of a composition ope
The numerical range of a composition operator with conformal automorphism symbol
โœ A. Abdollahi ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

Let p โˆˆ U, ฮฑ p (z) := p-z 1-pz (z โˆˆ U) and let C ฮฑ p : H 2 โ†’ H 2 be the composition operator induced by the conformal automorphism ฮฑ p . In this paper we show that the closure of the numerical range of C ฮฑ p , W (C ฮฑ p ), is an ellipse with foci at ยฑ1 and major axis 2 โˆš 1-|p| 2 .

Evolution of the reduced density matrix:
Evolution of the reduced density matrix: a generalized projection-operator approach
โœ Irena Knezevic; David K. Ferry ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 57 KB

A convolutionless equation of motion for the reduced density matrix of a system coupled to its environment, where the system 1 environment is closed, may be obtained using a projection-operator technique. We show that, when both the system and the environment Hilbert spaces are finite-dimensional, i