Article

Usual, quadratic and cubic numerical ranges corresponding to a $3\times 3$ operator matrices

Mubina SharipovaBukhara State University, Bukhara, Uzbekistan

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2022en

ABI

Abstract

In the present paper we consider bounded self-adjoint 3x3 operator matrices A. An alternative formula for the calculating the cubic numerical range of the operator matrices A is derived. The components of the quadratic numerical range with respect to the expansion of the Hilbert space are found.

Topics

Spectral Theory in Mathematical Physics Matrix Theory and Algorithms Numerical methods in inverse problems

Identifiers

DOI: 10.56017/2181-1318.1236

Citations and references

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