RELATIONSHIP BETWEEN THE CLASSICAL NUMERICAL RANGE AND ESSENTIAL NUMERICAL RANGES

  • D. O. Owego
  • N. B. Okelo
DOI: https://doi.org/10.53555/m.v1i5.2413
Keywords: Numerical range, Essential Numerical range, Orthonormal Basis, Inner Product

Abstract

In this paper we discuss the relationships between the numerical range and the essential
numerical range. We prove two theorems in this paper that show how the numerical range
and the essential numerical range are related. Finally, we discuss the roles of the essential
numerical range in operator theory.

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Author Biographies

D. O. Owego

Department of Pure and Applied Mathematics,
Jaramogi Oginga Odinga University of Science and Technology, Kenya
P. O. Box 210-40601, Bondo, Kenya

N. B. Okelo

Department of Pure and Applied Mathematics,
Jaramogi Oginga Odinga University of Science and Technology, Kenya
P. O. Box 210-40601, Bondo, Kenya

Published
2015-09-30
How to Cite
Owego, D. O., & Okelo, N. B. (2015). RELATIONSHIP BETWEEN THE CLASSICAL NUMERICAL RANGE AND ESSENTIAL NUMERICAL RANGES. IJRDO -JOURNAL OF MATHEMATICS, 1(5), 46-53. https://doi.org/10.53555/m.v1i5.2413
Issue
Vol. 1 No. 5 (2015): IJRDO-Journal of Mathematics
Section
Articles

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