|
|
|
||
|
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.
Last update: T_KNM (14.04.2015)
|
|
||
|
Credit for the exercise is granted for continuous activity at the exercise and continuous homework throughout the semester. Last update: Felcman Jiří, doc. RNDr., CSc. (13.10.2017)
|
|
||
|
A.E. Taylor: Úvod do funkcionální analýzy, Academia, l973
K. Yosida: Functional analysis, Springer-Verlag, 1980
K. Najzar: Funkcionální analýza, skripta MFF UK, 1988
A. Kufner, O. John, S. Fučík: Function spaces, Academia, 1977 Last update: Kučera Václav, doc. RNDr., Ph.D. (29.10.2019)
|
|
||
|
The exam is written and oral. The examination requirements are given by the topics in the syllabus, in the extent to which they they were taught in course. Last update: Felcman Jiří, doc. RNDr., CSc. (13.10.2017)
|
|
||
|
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. Last update: T_KNM (15.09.2013)
|
|
||
|
Basic knowledge of the functional analysis from the bachelor study Last update: Felcman Jiří, doc. RNDr., CSc. (31.05.2018)
|