Syllabus/achievement requirements
This course consists of two (at times closely interrelated) parts:
Part I: Measure and integration
Part II: Bounded linear operators on Banach spaces and Hilbert spaces.
Literature:
- "A course in real analysis" by John McDonald and Neil Weiss, 2nd edition. (for part one)
- "Linear Functional Analysis" (2nd edition) by Bryan P. Rynne and Martin A. Youngson, Springer Undergraduate Mathematics Series. (for part two)
The curriculum:
The following sections from McDonald and Weiss:
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1.4
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3.1-3.4,
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4.1-4.4,
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5.1-5.4,
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13.1-13.3 and 13.4 up to and including Theorem 13.11.
The following sections from Rynne-Youngson:
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5.1 only Theorem 5.2.
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6.1, 6.2, 6.3 up to and including Example 6.35, as well as 6.4 up to and including Corollary 6.53,
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7.1, 7.2 up to and including Corollary 7.23, as well as 7.3 up to and including Corollary 7.36.
Published Aug. 16, 2017 10:53 AM
- Last modified Nov. 22, 2017 11:33 AM