Extreme Points of the Unit Ball in the Dual Space of Some Real Subspaces of Banach Spaces of Lipschitz Functions
Joint Authors
Alimohammadi, Davood
Pazandeh, Hadis
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Let X be a compact Hausdorff space, τ be a continuous involution on X and C(X,τ) denote the uniformly closed real subalgebra of C(X) consisting of all f∈C(X) for which f∘τ=f̅.
Let (X,d) be a compact metric space and let Lip(X,dα) denote the complex Banach space of complex-valued Lipschitz functions of order α on (X,d) under the norm ∥f∥X,pα=max{∥f∥X,pα(f)}, where α∈(0,1].
For α∈(0,1), the closed subalgebra of Lip(X,α) consisting of all f∈Lip(X,dα) for which |f(x)-f(y)|/dα(x,y)→0 as d(x,y)→0, denotes by lip(X,dα).
Let τ be a Lipschitz involution on (X,d) and define Lip(X,τ,dα)=Lip(X,dα)∩C(X,τ) for α∈(0,1] and lip(X,τ,dα)=lip(X,dα)∩C(X,τ) for α∈(0,1).
In this paper, we give a characterization of extreme points of BA*, where A is a real linear subspace of Lip(X,dα) or lip(X,dα) which contains 1, in particular, Lip(X,τ,dα) or lip(X,τ,dα).
American Psychological Association (APA)
Alimohammadi, Davood& Pazandeh, Hadis. 2012. Extreme Points of the Unit Ball in the Dual Space of Some Real Subspaces of Banach Spaces of Lipschitz Functions. ISRN Mathematical Analysis،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-494462
Modern Language Association (MLA)
Alimohammadi, Davood& Pazandeh, Hadis. Extreme Points of the Unit Ball in the Dual Space of Some Real Subspaces of Banach Spaces of Lipschitz Functions. ISRN Mathematical Analysis No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-494462
American Medical Association (AMA)
Alimohammadi, Davood& Pazandeh, Hadis. Extreme Points of the Unit Ball in the Dual Space of Some Real Subspaces of Banach Spaces of Lipschitz Functions. ISRN Mathematical Analysis. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-494462
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494462