The lectures are delivered in Italian.
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. Students are suggested to enroll in AulaWeb, in order to be able to get information and news by the teachers about the course.
Ricevimento: At the end of lectures or by appointment.
LAURA BURLANDO (President)
ADA ARUFFO
FRANCESCA ASTENGO
The class will start according to the academic calendar.
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.
