Numerical Range of Two Operators in Semi‐InnerProduct Spaces
Copyright policy )Numerical Range of Two Operators in Semi‐InnerProduct Spaces
In this paper, the numerical range for two operators (both linear and nonlinear) have been studied in semi‐inner product spaces. The inclusion relations between numerical range, approximate point spectrum, compression spectrum, eigenspectrum, and spectrum have been established for two linear operators. We also show the inclusion relation between approximate point spectrum and closure of the numerical range for two nonlinear operators. An approximation method for solving the operator equation involving two nonlinear operators is also established.
Composite material, Inverse Problems in Mathematical Physics and Imaging, Linear map, Economics, Geometry, numerical range, Operator (biology), Mathematical analysis, Biochemistry, Quantum mechanics, Gene, spectrum, Range (aeronautics), Point (geometry), Market economy, QA1-939, FOS: Mathematics, Spectrum (functional analysis), Complex Analysis and Operator Theory, Operator Theory, Mathematical Physics, Matrix Algorithms and Iterative Methods, Product (mathematics), Applied Mathematics, Physics, Pure mathematics, Materials science, Chemistry, Computational Theory and Mathematics, Computer Science, Physical Sciences, Numerical range, numerical radius, Nonlinear system, Repressor, semi-inner product space, Numerical range, Transcription factor, Closure (psychology), Mathematics, Numerical analysis
Composite material, Inverse Problems in Mathematical Physics and Imaging, Linear map, Economics, Geometry, numerical range, Operator (biology), Mathematical analysis, Biochemistry, Quantum mechanics, Gene, spectrum, Range (aeronautics), Point (geometry), Market economy, QA1-939, FOS: Mathematics, Spectrum (functional analysis), Complex Analysis and Operator Theory, Operator Theory, Mathematical Physics, Matrix Algorithms and Iterative Methods, Product (mathematics), Applied Mathematics, Physics, Pure mathematics, Materials science, Chemistry, Computational Theory and Mathematics, Computer Science, Physical Sciences, Numerical range, numerical radius, Nonlinear system, Repressor, semi-inner product space, Numerical range, Transcription factor, Closure (psychology), Mathematics, Numerical analysis
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