Functional Analysis

Math 655

First Day Handout:


Professor: Thomas Schlumprecht
Office: Milner 216 Tel: 845-8840
Hours: Tu........ Th ..... and by appointment
E-mail: schlump@math.tamu.edu
Homepage: http://www.math.tamu.edu/~thomas.schlumprecht

Textbook: Functional Analysis and Infinite Dimensional Geometry, M. Fabian, P. Habala, P.Haject V.Montesinos Santalucia, J.Pelant, V.Zizler, CMS Books in Mathematics, ISBN: 0-387-95219-5

Gradings. Course grades will be based on homeworks.

Other: Students with disabilities can get assistance from the Office of Services for Students with Disabilities (845-1637).


Syllabus

  • Basic concepts of Functional Analysis (much of this was already introduced in Math608)

  • Weak Topologies, locally convex spaces

  • Bases of Banach spaces

  • To be announced.

    Homework:


    Homework 1: (due : 9/23) 1.33, 1.34, 1.35, 1.36, 1.49, 2.3, 2.5, 2.13, 2.42, 2.50

    Homework 2: (due : 9/23) Prove the second version of local reflexivity, for an infinite dimesnional Banach space X show that there is an unbounded net which converges weakly to 0,show that this is not possible if "net" is replaced by "sequence" 3.2, 3.7, 3.11, 3.16, 3.35, 3.57, 3.63

    Homework 3 Due: 10/24

    Homework 4 Due: 11/11


    Homework 4 Due: 12/2