| 1 | Hahn- Banach theorem | [1] p. 210-213 , [4] p. 184-190 |
| 2 | Open Mapping Theorem | [1] p. 276-285 , [4] p. 200-210 , [3] p. 114-118 |
| 3 | Closed Linear operators and closed graph theorem | [1] p. 285-291 , [4] p. 210-214 , [3] p. 118-119 |
| 4 | Uniform boundedness principle | [1] p. 239-246 , [4] p. 197-200 |
| 5 | Innerproduct spaces and their properties. | [1] p. 128 -136 |
| 6 | Ortogonality in innerproduct space | [1] p. 142 -151 |
| 7 | The representation of functionals in Hilbert spaces and sustainable solution structures | [1] p. 175-188 |
| 8 | Hilbert adjoint operator | [1] p. 188-195 |
| 9 | S linear transformations with two variables. | [1] p. 243-253 |
| 10 | Banach algebra | [2] p. 255-262, [3] p. 132-136 |
| 11 | Disc Algebra | [2] p. 262-264 |
| 12 | Regular and singular elements | [2] p. 264-281 |
| 13 | Spectral radious | [2] p. 281-294 |
| 14 | Ideals and division algebras | [2] p. 294-300 |