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

DOI10.1007/s10958-016-3041-5zbMath1365.46040OpenAlexW2521005603MaRDI QIDQ341456

Fedor S. Stonyakin

Publication date: 16 November 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3041-5

zbMATH Keywords

Pettis integralvector measureFréchet space

Mathematics Subject Classification ID

Vector-valued measures and integration (46G10) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Cites Work

• Truth, justice, and cake cutting
• Hilbert compacts, compact ellipsoids, and compact extrema
• Lyapunov's convexity theorem, zonoids, and bang-bang
• Measurable selectors and set-valued Pettis integral in non-separable Banach spaces
• The variational McShane integral in locally convex spaces
• The limit form of the Radon-Nikodým property is true for all Fréchet spaces
• On continuity and compactness of some vector-valued integrals
• Radon-Nikodým theorems for the Bochner and Pettis integrals
• How to cut a pizza fairly: fair division with decreasing marginal evaluations
• Extension of Lyapunov’s convexity theorem to subranges
• On Denjoy type extensions of the Pettis integral
• Truthful Fair Division
• NOWHERE WEAK DIFFERENTIABILITY OF THE PETTIS INTEGRAL
• CONVEXITY OF VALUES OF VECTOR INTEGRALS, THEOREMS ON MEASURABLE CHOICE AND VARIATIONAL PROBLEMS
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