FACULTY OF SCIENCE / MATHEMATICS / MAT4003 - FUNCTIONAL ANALYSIS I

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1İnequalities[3] p. 17-21
2Metric spaces[1] p. 2-9 , [2] p. 19-21
3Open set , closed set , neighborhood[1] p. 9-17
4Convergences , Cauchy sequences , completenes[1] p. 17-25
5Completion of the metric spaces[1] p. 32-41
6Linear spaces[1] p. 49-50, [2] p. 65-79
7Normed space and Banach space[1] p. 50-58, [2] . p.97-118, [4] p. 59-80, 112-125
8Finite dimensional normed spaces and the concept of subspaces as foundations for understanding the mathematical basis of sustainable approaches[1] p. 62-72
9Compactness and finite dimension[1] p. 72-77
10Linear operators[1] p. 77-82, [2] p. 133-142, [4] p. 136-174
11Bounded and continuous linear operators[1] p. 82-91
12Linear functionals[1] p. 91-103
13Linear operators and functionals of finite dimensional spaces[1] p. 103-111
14Normed spaces of operators and dual spaces[1] p. 111-117