Presentations in Functional Analysis III/IV (MATH4404)

Thursday, 28 July, 14:00-14:50 in 67-442

Lecture

Thursday, 4 August, 14:00-14:50 in 67-442

Mitchell Griggs: Metric spaces: Compactness and completeness

Reference: Folland 0.6

Thursday, 11 August, 14:00-14:50 in 67-442

Sam Weatherhog: Vector spaces: Quotient spaces and the homomorphism theorem

Reference: Kreyszig 2.1

Thursday, 18 August, 14:00-14:50 in 67-442

Mitchell Watt: Hilbert spaces: Orthogonality, projections, Riesz representation

Reference: Folland 5.5

Thursday, 25 August, 14:00-14:50 in 67-442

Lecture

Thursday, 1 September, 14:00-14:50 in 67-442

Godfrey Smith: The Riesz representation theorem for functionals on C[a,b]

Reference: Kreyszig 4.4

Thursday, 8 September

Study week

Thursday, 15 September, 14:00-14:50 in 67-442

Matthew Spong: The Mean Ergodic Theorem for Hilbert spaces

Reference: Hjorth 16.2 (up to and including Lemma 16.6)

Thursday, 22 September, 14:00-14:50 in 67-442

Max Lewis: The Weierstrass Approximation Theorem

Reference: Kreyszig 4.11-5

Thursday, 29 September

Semester break

Thursday, 6 October, 14:00-14:50 in 67-442

Frank Wrathmall: Approximation in normed spaces

Reference: Kreyszig 6.1 and 6.2

Thursday, 13 October, 14:00-14:50 in 67-442

Lecture

Thursday, 20 October, 14:00-14:50 in 67-442

Lecture

Thursday, 27 October, 14:00-14:50 in 67-442

Lecture

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