Generalized Numerical Index of Function Algebras
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-04
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let X be a complex Banach space and Cb(Ω:X) be the Banach space of all bounded continuous functions from a Hausdorff space Ω to X, equipped with sup norm.
A closed subspace A of Cb(Ω:X) is said to be an X-valued function algebra if it satisfies the following three conditions: (i) A≔{x⁎∘f:f∈A, x⁎∈X⁎} is a closed subalgebra of Cb(Ω), the Banach space of all bounded complex-valued continuous functions; (ii) ϕ⊗x∈A for all ϕ∈A and x∈X; and (iii) ϕf∈A for every ϕ∈A and for every f∈A.
It is shown that k-homogeneous polynomial and analytic numerical index of certain X-valued function algebras are the same as those of X.
American Psychological Association (APA)
Lee, Han Ju. 2019. Generalized Numerical Index of Function Algebras. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1174957
Modern Language Association (MLA)
Lee, Han Ju. Generalized Numerical Index of Function Algebras. Journal of Function Spaces No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1174957
American Medical Association (AMA)
Lee, Han Ju. Generalized Numerical Index of Function Algebras. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1174957
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174957