MATH 6220
HW6: CH3 BANACH SPACES
Due on Wednesday 29th April.
Exercise 1:
Let X be a vector space over R and V be an open convex subset containing 0.
Show that the function q(x) = infcfw_t 0 : x tV i
NUTS AND BOLTS QUESTIONNAIRE
The choices that you circle below will provide useful information for your instructor enabling her/him
to improve your classroom experience. If you have concerns or questi
MATH 6220 APPLIED FUNCTIONAL ANALYSIS
Instructor: Jeremie Brieussel ([email protected], 2554739)
Grader: Jason Anema ([email protected])
Office hours announced soon.
Here is the progra
MATH 6220
HW5: CH3 BANACH SPACES
Due on Monday 13th April.
Exercise 1:
We aim to prove the:
Theorem 0.1. Let (X, , ) be a measure space, then Lp (X, ) is a Banach space
for the norm:
Z
p1
p
f p =

MATH 6220
CHAPTER 2 : OPERATORS ON HILBERT SPACES 3
Due on Monday 23rd March.
The number in italics refer to exercise and page in A Course in Functional Analysis J. B. Conway (2nd ed).
Exercise 1:(6p5
MATH 6220
CHAPTER 2 : OPERATORS ON HILBERT SPACES
Due on Monday 16th February.
The number in italics refer to exercise and page in A Course in Functional Analysis J. B. Conway (2nd ed).
Exercise 1:(9p
MATH 6220
FINAL EXAM
Due on Monday 11th May 2009.
Exercise 1:(20 points)
Let X be a normed vector space, X its dual.
We remind that a normed vector space X is separable if it admits a countable
dense
MATH 6220 APPLIED FUNCTIONAL ANALYSIS
SOLUTION OF PRELIMINARY EXAM
Exercise 1: (20 points)
Let T be a compact normal operator on a complex Hilbert space H. Show that
the two following properties are e
MATH 6220
CHAPTER 1 : HILBERT SPACES
The number in italics refer to exercise and page in A Course in Functional Analysis J. B. Conway (2nd ed).
Exercise 1:(11p7)
Let H be a Hilbert space, (hn ) a sequ
MATH 6220
CHAPTER 2 : OPERATORS ON HILBERT SPACES 2
Due on Monday 2nd March.
The number in italics refer to exercise and page in A Course in Functional Analysis J. B. Conway (2nd ed).
Exercise 1:(11p4
MATH 6220
PRELIMINARY EXAM 1
Due on Wednesday 25th March.
Remind N = cfw_0, 1, 2, 3, . . . .
Exercise 1:
Let T be a compact normal operator on a complex Hilbert space H. Show that
the two following pr