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Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
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Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
To acquaint students with fundaments of topology and functional analysis |
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Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Edwards, R.E.: Functional Analysis,Rinehart and Wiston, New York 1965 Taylor, A.E.: Introduction to Functional Aanalysis |
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Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Lecture and seminar |
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Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Seminar:
Exam:
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Last update: JANCARIK/PEDF.CUNI.CZ (04.06.2010)
Spaces: metric, linear, normed, Banach, Hilbert. Neighborhoods, closed and opens sets. Convergence in metric space, Bolzano-Cauchy condition, completeness. Scalar product. orthogonality. Linear functionals, Hahn-Banach theorem. Adjoint space. Linear operators. |