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| - | ====== Functional Analysis by Prof Mumtaz Ahmad ====== | ||
| - | These notes are provided and composed by Mr. [[: | ||
| - | |||
| - | ^ Name |Functional Analysis | ||
| - | ^ Provider | ||
| - | ^ Pages |71 pages | | ||
| - | ^ Format | ||
| - | ^ Size |2.7 MB | | ||
| - | |||
| - | ====Contents & Summary==== | ||
| - | < | ||
| - | <col sm=" | ||
| - | * 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 | ||
| - | </ | ||
| - | <col sm=" | ||
| - | * 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 | ||
| - | </ | ||
| - | </ | ||
| - | |||
| - | {{include> | ||
| - | ==== Download or View online ==== | ||
| - | <callout type=" | ||
| - | * **{{ : | ||
| - | </ | ||
| - | |||
| - | ====Notes of other subjects==== | ||
| - | {{topic> | ||
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