# Functional Analysis by Prof Mumtaz Ahmad

These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org

Name | Functional Analysis |
---|---|

Provider | Mr. Muzammil Tanveer |

Pages | 71 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 2.7 MB |

### Contents & Summary

- Metric Space
- Distance between two sets
- Sequence
- Convergent Sequence
- Cauchy Sequence
- Complete Space
- Dense Subset
- Somewhere & Nowhere Dense Subset
- Nested Sequence
- Normed Space
- $l^\infty$-Space
- $l^\infty$ is Banach space
- C-space

- Open ball
- Quotient Space
- Equivalent Norms
- Topological Linear Space
- Linear Operator
- Finite Dimensional Normed Space
- Cauchy Schwarz Inequality
- Orthogonal System
- Generalized form of Pythagorean Theorem
- Dual Space (Conjugate Space)
- Isometric Isomorphism
- Annihilators

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