A Lattice Renorming Theorem and Applications to Vector-Valued Processes

DOI10.2307/1998366zbMath0479.46010OpenAlexW4239452067MaRDI QIDQ3938034

William J. Davis, Joram Lindenstrauss, Nassif Ghoussoub

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1998366

zbMATH Keywords

martingalesvector measuresergodic theoremrenormingsubmartingaleslocally uniformly convex normorder continuous Banach latticevector-valued processes

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42) Vector-valued measures and integration (46G10)

Related Items

A counterexample that provides a non-weakly LUR interpolation space, The Kadec-Klee property in symmetric spaces of measurable operators, Local uniform and uniform convexity of non-commutative symmetric spaces of measurable operators, Norm estimates for matrix operators between Banach spaces, Propriétés de lissité de certaines normes, On some renorming problems. II, Renorming Dual Banach Lattices, Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions, Monotonicity and the dominated farthest points problem in Banach lattice, Symétries isométriques. Applications à la dualité des espaces réticulés, Monotonicity and rotundity properties in Banach lattices, Denseness of norm-attaining mappings on Banach spaces, Convergence theorems for adapted sequences of random sets, Geometric properties of \(h^p(\mathbb D, X)\) and generalizations, Monotonicity Properties of Lorentz Spaces, Symétries isométriques. Applications à la dualité des espaces réticulés, Symétries isométriques, applications à la dualité des espaces réticulés, On geometric structure of symmetric spaces

Cites Work

• Vector valued subadditive processes and applications in probability
• Geometry of Banach spaces. Selected topics
• On the local structure of subspaces of Banach lattices
• On the Strassen disintegration theorem
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
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