FONKSİYONEL ANALİZ:Metrik Uzaylar ve temel teoremleri, Lineer Uzaylar, Normlu Lineer Uzaylar, Banach Uzayları
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| FUNCTIONAL
ANALYSIS:Topological structure. Basic topological concepts.
Compact topological spaces. Continuous functions. Connectedness.
Metric topology and metric spaces. Convergence, completeness and
compactness. Contraction mappings. Urysohn’s theorem. Normed linear
spaces. Bounded linear operators. Continuous linear operators.
Topological dual. Compact, closed and adjoint operators. Inner
product spaces. Orthonormal sets and Fourier series. Linear
operators on Hilbert spaces. Resolvent and spectrum of an operator.
Spectra of continuous and compact linear operators. Spectral
analysis on Hilbert spaces. Derivations of operators.
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