Syllabus
Spaces: metric, linear, normed, Banach, Hilbert.
Neighborhoods, open and closed sets. Convergence in metricspaces. Bolzano-Cauchy condition, completeness, separability.
Scalar product, orthogonality.
Linear functionals, Hahn-Banach theorem, adjoint space. Linear operators.
Annotation
Metric space, linear space, normed space, Banach and Hilbert space.
Linear functionals, linear operators
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