Local Uniform Kadec-Klee Property (LUKK) and Modulus of (LUKK)

Autor:	Xiaoxia Wang, Yunan Cui
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	010101 applied mathematics Pure mathematics Mathematics::Functional Analysis Property (philosophy) Article Subject 010102 general mathematics QA1-939 Modulus 0101 mathematics 01 natural sciences Analysis Mathematics
Zdroj:	Journal of Function Spaces, Vol 2020 (2020)
ISSN:	2314-8888 2314-8896
Popis:	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.
Databáze:	OpenAIRE
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