An approach to the theory of Lebesgue-Bochner measurable functions and to the theory of measure

DOI10.1007/BF01360249zbMath0147.34001MaRDI QIDQ2524618

Witold M. Bogdanowicz

Publication date: 1966

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161402

Mathematics Subject Classification ID

Measure and integration (28-XX)

Related Items (14)

Existence and uniqueness of extensions of volumes and the operation of completion of a volume, I ⋮ A criterion for boundedness of a linear map from any Banach space into a Banach function space ⋮ Fubini Theorems for Orlicz Spaces of Lebesgue-Bochner Measurable Functions ⋮ An approach to the theory of integration generated by Daniell functionals and representations of linear continuous functionals ⋮ An approach to the theory of integration and theory of Lebesgue-Bochner measurable functions on locally compact spaces ⋮ An approach to the theory of Orlicz spaces of Lebesgue-Bochner measurable functions ⋮ Feynman's Electromagnetic Fields Induced by Moving Charges and the Existence and Uniqueness of Solutions to theN-Body Problem of Electrodynamics ⋮ Relations between volumes and measures ⋮ An approach to the theory of integration generated by positive linear functionals and existence of minimal extensions ⋮ Relations between complete integral seminorms and complete volumes ⋮ Multilinear Lebesgue-Bochner-Stieltjes integral ⋮ Integral representation of multilinear continuous operators from the space of Lebesgue-Bochner summable functions into any Banach space ⋮ Representations of linear continuous functionals on the space $C\left( {X,Y} \right)$ of continuous functions fromcompact $X$ into locally convex $Y$ ⋮ Integration on locally compact spaces generated by positive linear functionals defined on the spaceof continuous functions with compact supportand the Riesz representation theorem, I

Cites Work

• An approach to the theory of integration and theory of Lebesgue-Bochner measurable functions on locally compact spaces
• Integration von Funktionen, deren Werte die Elemente eines Vektorraumes sind
• A GENERALIZATION OF THE LEBESGUE-BOCHNER-STIELTJES INTEGRAL AND A NEW APPROACH TO THE THEORY OF INTEGRATION
• INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE
• Fubini theorems for generalized Lebesgue-Bochner-Stieltjes integral
• On Integration in Vector Spaces
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