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An approach for metric space with a conv...

Thuan, Nguyen Tran...

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An approach for metric space with a convex combination operation and applications by Thuan, Nguyen Tran ( Author )

Content Provider	Lemonjar Open Access
Publisher	methuen
Publication Date	21-01-2015
Summary	In this paper, we embed metric space endowed with a convex combination operation, named convex combination space, into a Banach space and the embedding preserves the structures of metric and convex combination. For random element taking values in this kind of space, applications of embedding are also established. On the one hand, some nice properties of expectation such as representation of expected value through continuous affine mappings, the linearity of expectation will be given. On the other hand, the notion of conditional expectation will be also introduced and discussed. Thanks to embedding theorem, we establish some basic properties of conditional expectation, Jensen's inequality, convergences of martingales and ergodic theorem.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1501.06049

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AMA 11th EditionReferences

Thuan, Nguyen Tran. An approach for metric space with a convex combination operation and applications. methuen. January 21, 2015. Accessed October 02, 2025. https://online.provdatabase.com/cite/18296

APA 7th EditionReferences

Thuan, Nguyen Tran. (2015). An approach for metric space with a convex combination operation and applications. methuen. https://online.provdatabase.com/cite/18296

Chicago 17th EditionReferences

Thuan, Nguyen Tran. An approach for metric space with a convex combination operation and applications. methuen. 2015. https://online.provdatabase.com/cite/18296

HarvardReferences

Thuan, Nguyen Tran. (2015). An approach for metric space with a convex combination operation and applications. [Online]. methuen. Available from: https://online.provdatabase.com/cite/18296. (Accessed 02 October 2025).

Harvard AustraliaReferences

Thuan, Nguyen Tran, 2015, An approach for metric space with a convex combination operation and applications, methuen, viewed 02 October 2025, <https://online.provdatabase.com/cite/18296>

MLA 9th EditionWorks Cited

Thuan, Nguyen Tran. An approach for metric space with a convex combination operation and applications. methuen, 2015. PROV Database, https://online.provdatabase.com/cite/18296.

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