Open AccessMatrix transformations of double sequences
Author(s) -
Maria Zeltser
Publication year - 2000
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2000.04.05
Subject(s) - subspace topology , space (punctuation) , bounded function , mathematics , matrix (chemical analysis) , combinatorics , pure mathematics , discrete mathematics , mathematical analysis , computer science , materials science , composite material , operating system
We study the space Ce of double sequences (xkl) satisfying liml limk |xkl-a| = 0 for some number a, and its subspace Cbe of elements with bounded columns. Using the gliding hump method, we find necessary and sufficient conditions for a 4-dimensional matrix to transform a space X into a space Y, where X,Y ∈ {Ce,Cbe}.