APPROXIMATION OF BANACH SPACE VALUED NON-ABSOLUTELY INTEGRABLE FUNCTIONS BY STEP FUNCTIONS

DOI10.1017/S0017089508004448zbMath1154.28006OpenAlexW2002091668MaRDI QIDQ3529472

Benedetto Bongiorno, Luisa Di Piazza, Kazimierz Musiał\

Publication date: 13 October 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089508004448

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (7)

Some new results on integration for multifunction ⋮ On continuity and compactness of some vector-valued integrals ⋮ Decomposability in the space ofHKP-integrable functions ⋮ A Henstock-Kurzweil type integral on one dimensional integral currents ⋮ Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space ⋮ Strongly measurable functions and multipliers of \(\mathcal{M}\)-integrable functions ⋮ Vector Valued Multipliers of McShane Integrable Functions

Cites Work

• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• A decomposition theorem for compact-valued Henstock integral
• Set-valued Kurzweil-Henstock-Pettis integral

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