Complex convexity in Lebesgue-Bochner Function Spaces

DOI10.1090/S0002-9947-96-01508-5zbMath0845.46018OpenAlexW1881235829MaRDI QIDQ4875761

Zhibao Hu, Patrick N. Dowling, Douglas Mupasiri

Publication date: 24 April 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01508-5

zbMATH Keywords

complex extreme pointscomplex strongly extreme pointscomplex convexityLebesgue-Bochner function spacesanalytic denting pointscontinuously quasi-normed spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20)

Related Items (10)

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Bishop's theorem and differentiability of a subspace of \(C_b(K)\) ⋮ Nittka's invariance criterion and Hilbert space valued parabolic equations in \(L_p\) ⋮ 15637The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces. I ⋮ Complex extreme points and complex convexity in Orlicz-Bochner function spaces ⋮ Complex convexity of Orlicz modular sequence spaces ⋮ Denseness of norm-attaining mappings on Banach spaces ⋮ Monotonicity and complex convexity in Banach lattices ⋮ Complex convexity and monotonicity in quasi-Banach lattices ⋮ Complex convexity and fixed point theorems in Orlicz modular spaces

Cites Work

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• A Note on Strong Extreme and Strongly Exposed Points in Bochner L p - Spaces
• Complex convexity and the geometry of Banach spaces
• An Extremal Vector-Valued L p -Function Taking no Extremal Vectors as Values
• Extreme Measurable Selections
• Rotundity in Lebesgue-Bochner Function Spaces
• Geometry of Spaces of Vector-Valued Harmonic Functions
• The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
• Extreme Points of the Unit Cell in Lebesgue-Bochner Function Spaces. I
• Extreme points of the unit cell in Lebesgue-Bochner function spaces

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