Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK)
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-07
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A new geometry property and two new moduli are introduced in Banach space.
First, the concept of local uniform Kadec-Klee property (LUKK) is introduced and the implication relationships between LUKK and local near uniform convexity LNUC, uniformly Kadec-Klee (UKK), (H) are investigated in Banach space.
Furthermore, the modulus PXLε of (LUKK) and the modulus ΔXLε of LNUC are introduced and the relationship of size between PXLε and ΔXLε is also investigated in Banach space.
Finally, several formulas for PXLε are calculated in classical Banach space lp.
American Psychological Association (APA)
Cui, Yunan& Wang, Xiaoxia. 2020. Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK). Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1185833
Modern Language Association (MLA)
Cui, Yunan& Wang, Xiaoxia. Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK). Journal of Function Spaces No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1185833
American Medical Association (AMA)
Cui, Yunan& Wang, Xiaoxia. Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK). Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1185833
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185833