zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Duality and quasi-normability for complexity spaces. (English) Zbl 1022.54018
The authors continue their study of dual complexity spaces, see [Topology Appl. 98, 311-322 (1999; Zbl 0941.54028)]. In particular, they show that the dual complexity space (in the general case where it is considered a subspace of F ω , where F is any bi-Banach norm-weightable space) admits the structure of a quasi-normed semilinear space such that the induced quasi-metric space is order-convex, upper weightable and Smyth complete. They also investigate completeness of the quasi-metric of uniform convergence and of the Hausdorff quasi-pseudometric for the dual complexity space, in the context of function spaces and hyperspaces, respectively.

54E50Complete metric spaces
46E15Banach spaces of continuous, differentiable or analytic functions
54E15Uniform structures and generalizations
54C35Function spaces (general topology)