Quadratic Forms in Infinite Dimensional Vector Spaces by H. Gross
  

Synopsis

Quadratic Forms in Infinite Dimensional Vector Spaces by H. Gross

For about a decade I have made an effort to study quadratic forms in infinite dimensional vector spaces over arbitrary division rings. Here we present in a systematic fashion half of the results found du- ring this period, to wit, the results on denumerably infinite spaces ( NO-forms ). Certain among the results included here had of course been published at the time when they were found, others appear for the first time (the case, for example, in Chapters IX, X , XII where I in- clude results contained in the Ph.D.theses by my students W. Allenspach, L. Brand, U. Schneider, M. Studer). If one wants to give an introduction to the geometric algebra of infinite dimensional quadratic spaces, a discussion of N-dimensional O spaces ideally serves the purpose. First, these spaces show a large number of phenomena typical of infinite dimensional spaces. Second, most proofs can be done by recursion which resembles the familiar pro- cedure by induction in the finite dimensional situation. Third, the student acquires a good feeling for the linear algebra in infinite di- mensions because it is impossible to camouflage problems by topological expedients (in dimension NO it is easy to see, in a given case, wheth- er topological language is appropriate or not).

About the Author

Other Formats

Book Info

Format

Paperback
433 pages

Author

H. Gross
More books by H. Gross

Publisher

Birkhauser Boston Inc
www.springer.com/

Publication date

1st January 1979

ISBN

9780817611118


I love all the books they recommend & put up for me to review. I also love the fact that they give new authors the chance to share their boo

Daisy Pennock – age 15

It has introduced my children to books we hadn’t come across before. Real children’s reviews gives a great insight into what others think to

Lorraine Woods

At @HHSHaringey we love @lovereading4kids because our pupils can practice reviewing & get free upcoming books before anyone else!

Helen Swinyard – Heartlands High

It’s so easy to find the right book for your child. Such an easy-to-use, yet in-depth website. 100% reliable.

Pippa, Jack, Liam & Matthew Wils

Love “Lovereading4kids” as my son gets to hear about & read new books before his mates which keeps him interested in reading=a very happy Mum

Liz Evans

It is THE website to use for narrowing down your search for any book. Definitely knocks the socks off any other book review website.

Nickey and Tomasz Hawryszczuk

Lovereading is just a convenient way to find new books and hear others opinions on them.

Sarah Murray – age 15

I love ‘LoveReading 4 kids’ because they let you read and learn things you’d never dreamed of learning before.

Emily Horncastle – age 11
Lovereading

Lovereading 4 schools