2002•Journal of Ningbo UniversityRequires access

Two-Parameter Banach Space Valued Strong Martingale Spaces and Geometrical Properties of Banach Spaces

Ye Chen

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Abstract

The relationship between the mutual embedding of two parameter Banach space valued strong martingale spaces and the geometrical properties of Banach spaces is investigated. The geometrical properties of Banach spaces determine the embedding of strong martingale spaces and the latter can characterize the former conversely.

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The relationship between the mutual embedding of two parameter Banach space valued strong martingale spaces and the geometrical properties of Banach spaces is investigated. The geometrical properties of Banach spaces determine the embedding of strong martingale spaces and the latter can characterize the former conversely.

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Available abstract

The relationship between the mutual embedding of two parameter Banach space valued strong martingale spaces and the geometrical properties of Banach spaces is investigated. The geometrical properties of Banach spaces determine the embedding of strong martingale spaces and the latter can characterize the former conversely.

Key concepts: Mathematics, Eberlein–Šmulian theorem, Interpolation space, Banach space, Martingale (probability theory), Lp space, Banach manifold, Pure mathematics

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