Subseries of double series which are not absolutely P-convergent
Richard F. Patterson
Duquesne University
Department of Mathematics and Computer Science
Technical Report #97-02, October 1997

This paper will investigate the behavior of an absolutely P-divergent double series, after removing "almost all" of its terms. To achieve this goal we present definitions for "thin" double subsequences and subseries. In addition, we will answer the following question: given an absolutely P-divergent double series and after removing almost all of its terms does it necessarily follow that remaining double series is P-divergent?

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