A bilinear Orlicz-Pettis theorem

DOI10.1016/J.JMAA.2009.10.017zbMath1196.46004OpenAlexW2057023191MaRDI QIDQ847783

Charles W. Swartz

Publication date: 19 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.017

zbMATH Keywords

bilinear operatorsmultiplier convergent seriessigned weak gliding hump propertyOrlicz-Pettis Theorem

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03)

Related Items (8)

Subseries convergence in abstract duality pairs ⋮ Banach limits and uniform almost summability ⋮ Multiplier convergent series and uniform convergence of mapping series ⋮ Vector-valued almost convergence and classical properties in normed spaces ⋮ Orlicz-Pettis Type Theorems via Strong p-Cesàro Convergence ⋮ A version of Orlicz-Pettis theorem for quasi-homogeneous operator space ⋮ On some fixed point theorems in abstract duality pairs ⋮ Characterization of summing operators in multiplier spaces of deferred Nörlund summability

Cites Work

• A bilinear version of Orlicz-Pettis theorem
• Weak compactness and uniform convergence of operators in spaces of Bochner integrable functions
• Essays on the Orlicz-Pettis theorem. I: The two theorems
• Weak sequential completeness of \(\beta\)-duals
• Spaces of compact operators
• On C-sequences of operators
• GENERALIZATIONS OF THE ORLICZ-PETTIS THEOREM
• O R-CONVERGENCE AND WEAK O R-CONVERGENCE OF NETS AND THEIR APPLICATIONS
• A summation theorem and its applications
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