Messages

Published Nov. 18, 2008 3:45 PM

The lists with order and place of examination on the exam days November 24-26 are now ready. You can see the lists on the 7th floor on the board next to room B724.

Published Nov. 11, 2008 12:13 PM

I have made one addition to the updated "pensum" (syllabus requirements) for the exam. This new version of "pensum" is final.

Published Nov. 3, 2008 11:00 PM

I have posted an updated "pensum" (syllabus requirements) for the oral exam, see the menu on the left.

Published Oct. 27, 2008 3:47 PM

The revised dates for the exam will be November 24, 25 and 26. Please come to the lecture on November 11 where I will make a list with the order of examination. If you have (reasonable) restrictions on one of the above days and wish to come on a specific day then let me know at the latest on November 11.

Published Oct. 2, 2008 11:09 AM

I posted a new version of the exercises for week 41, with some small changes in the last exercise.

Published Sep. 30, 2008 12:32 PM

The dates for the exam have been fixed for November 24 and November 25. The last lecture will be on November 18.

Published Sep. 5, 2008 4:29 PM

Here is a more detailed hint to the additional exercise: take a Cauchy sequence {Zn} in X/Y, thus Zn=xn+Y. First choose a subsequence {Zn'} with ||Zk'-Z{k+1}'|| smaller than 1/(2^k). Then use the fact that the definition of the norm on X/Y is an infimum to choose a Cauchy sequence in X: for k=1 find y1 such that the norm on X of x1-x2-y1 is less than 1/2 + 1/2, let X1=x1 and X2=x2+y1. Then at k=2 choose X3 and by induction get {X_k} a Cauchy sequence in X. Use its limit to get a limit in X/Y for the original Cauchy sequence.

Published Sep. 5, 2008 1:19 PM

There is a typo in the formulation of the additional exercise for Monday September 8: the coset z+Y ought to be y+Y. There is also a typo in the formulation of exercise 2.12: the correct formula for z_n is (1-n^{-1})z.

Published Aug. 27, 2008 12:21 PM

The lectures on Mondays will take place from 12.15 to 14 in B62.

Published Aug. 25, 2008 5:48 PM

We agreed to move the Monday lectures from 10.15-12 to 12.15-14.00. I will announce the new lecture room in a couple of days.

Published Aug. 8, 2008 3:57 PM

The lectures are currently scheduled for Mondays 10.15-12 and Tuesdays 12.15-14, but there is a wish to change this due to overlap with other courses/seminars. Possible new times are Monday 12.15-14 and Wednesday 14.15-16. Please come at the first lecture at 10.15 on Monday August 25 where we will discuss the option of changing the current schedule.

Published June 13, 2008 12:06 PM

The teaching material for this course will be the book "Linear Functional Analysis" by Rynne and Youngson, 2nd edition (see the information on the left under "Pensum/l?ringskrav"). The library on campus still has some copies of the first edition. Wait until the 2nd edition has arrived before you purchase this book.