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Field name	Details
Dewey Class	500
Title	Quadratic Forms in Infinite Dimensional Vector Spaces ([EBook]) / by Herbert Gross.
Author	Gross, Herbert. , 1936-
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser , 1979.
Physical Details	XII, 421 p. 1 illus. : online resource.
Series	Progress in mathematics 0743-1643 ; ; 1
ISBN	9781489935427
Summary Note	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).:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4899-3542-7
Links to Related Works	Subject References: Science . Science, general . Authors: Gross, Herbert. 1936- . Gross, Herbert, 1936- . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 500 .

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Quadratic Forms in Infinite Dimensional Vector Spaces

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