Syllabus
Necessary and sufficient condition for solution of abstract saddle-point problem in Banach spaces. Saddle-point problems.
The spectral theorem for compact and self-adjoint operators. Self-adjoint and normal operators.
Operator calculus. Spectral analysis of continuous linear operator in Banach spaces.
Special operators.
Annotation
Necessary and sufficient conditions for the solvability of abstract variational problem in Banach spaces. Saddle-point problems.
Spectral analysis of symmetric linear operators in Hilbert space. Self-adjoint and normal operators.
Spectral theorem for compact and self-adjoint operators. Operator calculus.
Spectral analysis of continuous linear operator in Banach space. Special operators.
The subject is compulsory for the branch Numerical and computational mathematics.