| CODE | MAT3210 | ||||||||
| TITLE | Functional Analysis: Normed Spaces | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 5 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | • Metric spaces and their completion; • Normed vector spaces, Banach spaces; • Examples of normed spaces: the spaces and l p, Lp and C [a,b]; • Bounded linear operators, dual spaces; • Hahn-Banach theorem; • Open mapping and closed graph theorems. Main text: • Kreysig E., Introductory Functional Analysis, Wiley, 1989. Supplementary Reading: • Rudin W., Functional Analysis, Tata McGraw-Hill, 1973. • Kolmogorov A.N. and Fomin S.V., Elements of the Theory of Functions and Functional Analysis, Dover, 1957. |
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| ADDITIONAL NOTES | Follows from: MAT3217 Leads to: MAT5313 |
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| STUDY-UNIT TYPE | Lecture | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Emanuel Chetcuti |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2023/4. It may be subject to change in subsequent years. |
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