Premium
Abstract K and J spaces and measure of non‐compactness
Author(s) -
Cobos Fernando,
Fernández–Cabrera Luz M.,
Martínez Antón
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510572
Subject(s) - compact space , mathematics , measure (data warehouse) , lattice (music) , sequence (biology) , operator (biology) , pure mathematics , discrete mathematics , data mining , computer science , chemistry , physics , biochemistry , repressor , transcription factor , gene , acoustics
We establish a formula for the measure of non‐compactness of an operator interpolated by the general real method generated by a sequence lattice Γ. The formula is given in terms of the norms of the shift operators in Γ. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)