Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1028.46006
Jaworowski, Jan; Nhu, Nguyen To; Sisson, Paul; Nhuy, Nguyen; Trinh, Pham Quang
Rigid spaces and the AR-property. (English)
[J] Tsukuba J. Math. 25, No.2, 413-442 (2001). ISSN 0387-4982

Summary: A rigid space is a topological vector space, all of whose endomorphisms are only simple scalar multiplications of the identity. P. Sisson has presented the construction of a rigid space which admits compact operators. In the paper it is shown that Sisson's construction can be modified to have the $AR$-property and hence to be homeomorphic to the Hilbert sequence space $l_2$.
[J.Vaníček (Praha)]

MSC 2000:: *46A16 Non-locally convex linear spaces
54F65 Topological characterizations of particular spaces
54G15 Pathological spaces
46C05 Geometry and topology of inner product spaces

Keywords: $AR$-property; rigid space; compact operators

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.
	Elementary number theory. Primes, congruences, and secrets.

Advanced Search

Zentralblatt MATH Berlin [Germany]