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On the Lorentz‐Marcinkiewicz Operator Ideal
Author(s) -
Madrid Fernando Cobos
Publication year - 1986
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.19861260119
Subject(s) - mathematics , ideal (ethics) , lorentz transformation , operator (biology) , pure mathematics , classical mechanics , political science , physics , law , biochemistry , transcription factor , gene , chemistry , repressor
This article deals with the LORENTZ‐MARCINKIEWICZ operator ideal φ, q (s)generated by an additive s ‐function and the LORENTZ‐MARCINKIEWICZ sequence space λ q (φ). We give eigenvalue distributions for operators belonging to φ, q (s)( E, E ) and we show the interpolation properties of φ, q (a) ‐ideals. Furthermore, we study certain SCHAUDER bases in φ, q (a)( H, K ), H and K Hilbert spaces.
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