Orlicz-Pettis Theorems for Multiplier Convergent Series | Zendy

Charles Swartz | Zendy; Christopher E. Stuart | Zendy

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Orlicz-Pettis Theorems for Multiplier Convergent Series

Author(s) -

Charles Swartz,

Christopher E. Stuart

Publication year - 1998

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/851

Subject(s) - multiplier (economics) , series (stratigraphy) , mathematics , alternating series , convergent series , calculus (dental) , mathematical analysis , power series , economics , geology , keynesian economics , paleontology , medicine , dentistry

Orlicz-Pettis theorems have been established for multiplier convergent series where the multipliers come from co or P (0 < p < ). We show that these results as well as the classical Orlicz-Pettis theorem are corollaries of a general result based on the fact that all of these multiplier spaces have the canonical unit vectors as a Schauder basis.

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