The lectures are delivered in Italian. They can be given in English under request.
To provide some fundamental contents in Functional Analysis and Operator Theory that are considered important for the students who want to follow a PhD, or anyway aim to get a well grounded knowledge in the basic branches of Mathematics.
Teaching style: In presence
Quotient normed spaces; reflexivity; weak topologies; compactness in spaces of continuous functions: the Ascoli-Arzelà theorem; elements of operator theory: spectrum, adjoint operator, compact operators, the spectral theorem for compact selfadjoint operators, unbounded operators, closed operators; elements of spectral theory in Banach algebras; Gelfand theory for commutative Banach algebras; introduction to C*-algebras; the Gelfand representation theorem for commutative C*-algebras.
A. E. Taylor, D. C. Lay: Introduction to Functional Analysis, 2nd edition
W. Rudin: Real and Complex Analysis
W. Rudin: Functional Analysis
Ricevimento: At the end of lectures or by appointment (besides the office hours communicated at the beginning of the course). Students are suggested to enroll in AulaWeb, in order to be able to get further information by the teachers about the course.
Ricevimento: At the end of lectures or by appointment.
LAURA BURLANDO (President)
ADA ARUFFO
FRANCESCA ASTENGO
GIANFRANCO BOTTARO
September 26, 2016
ELEMENTS OF ADVANCED ANALYSIS 2
Written and oral tests.
There will be both a written test and an oral one.
Prerequisite: IAS 1
Attendance: recommended.
