Research Article

Some properties in vector sequence spaces

Published in: Quaestiones Mathematicae
Volume 47 , issue 12, pages: 2331–2351

DOI: 10.2989/16073606.2024.2366411

Author(s): Ioana GhenciuUniversity of Wisconsin-River Falls, River Falls, USA, Roxana PopescuUniversity of Pittsburgh, USA,

Keywords: 46B20, 46B25, 46B28, Vector sequence spaces, Right* sets, p-Right* sets, pseudo weakly compact operator, limited completely continuous operator, p-convergent operator, DP p-convergent operator, limited p-convergent operator,

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Abstract

Some classes of operators T on are characterized in terms of the induced operators T_n on each X_n . We study pseudo weakly compact, limited completely continuous, q-convergent, DP q-convergent, limited q-convergent, weak Dunford-Pettis, weak* Dunford-Pettis, weak q-convergent, weak* q-convergent operators on for 1 < q < ∞. We also study q-convergent operators (1 ≤ q < p*) and operators with weakly precompact adjoints on .

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Research Article

Some properties in vector sequence spaces

Abstract

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