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Extreme points of the intersection and the union of some operator balls

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Abstract

The extreme points of the set {A: A * A≤R 2,AA *≤R 2} of operators acting in then-dimensional Euclidean space are investigated. Forn=2 a complete description of this set is given. For the set {A: A * A≤R 2} ∪ {A: AA *≤R 2} the extreme points are described for alln.

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References

  1. T. Ando. Extreme points of an intersection of operator intervals. InInternational Mathematics Conference '94 (Kaohsiung, 1994), pages 1–18, River Edge, NJ, 1996. World Sci. Publishing.

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  2. G.R. Belitskii and Yu.I. Lyubich.Matrix norms and their representations. Birkhäuser, 1988.

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Authors and Affiliations

  1. Department of Mathematics, Technion, 32000, Haifa, Israel

    Yuri Lyubich

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  1. Yuri Lyubich
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Lyubich, Y. Extreme points of the intersection and the union of some operator balls. Integr equ oper theory 44, 38–49 (2002). https://doi.org/10.1007/BF01197859

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  • DOI: https://doi.org/10.1007/BF01197859

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