On continuity and compactness of some vector-valued integrals

DOI10.1216/RMJ-2013-43-3-1015zbMath1279.26023MaRDI QIDQ2393441

K. M. Naralenkov

Publication date: 8 August 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1375361985

zbMATH Keywords

Henstock-Kurzweil-Pettis integralDenjoy-Pettis integralSchur's propertyMcShane-Pettis integral

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (1)

Anti-compacts and their applications to analogs of Lyapunov and Lebesgue theorems in Fréchet spaces

Cites Work

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• Kurzweil-Henstock type integration on Banach spaces
• Set-valued Kurzweil-Henstock-Pettis integral
• On Denjoy type extensions of the Pettis integral
• On continuity properties of some classes of vector-valued functions
• Characterizations of Kurzweil–Henstock–Pettis integrable functions
• Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions
• APPROXIMATION OF BANACH SPACE VALUED NON-ABSOLUTELY INTEGRABLE FUNCTIONS BY STEP FUNCTIONS
• The Denjoy extension of the Bochner, Pettis, and Dunford integrals
• On Integration in Vector Spaces
• Some topological properties of Banach spaces and Riemann integration

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