PHIL 发表于 2025-3-25 06:07:35

Economic Remedies to Reduce SmokingThe purpose of this chapter is to describe monotone bases in r.i. spaces. If any contractive projection P satisfying the condition .. = .. is a conditional expectation, then such description can be given in terms of generalized Haar systems. We start in section 10.a with the characterization of r.i. spaces with the above mentioned property.

Headstrong 发表于 2025-3-25 09:59:31

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growth-factor 发表于 2025-3-25 12:36:29

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没收 发表于 2025-3-25 18:04:45

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去世 发表于 2025-3-25 22:48:10

The Economics of Alfred MarshallIf the H.s. is an unconditional basis of an r.i. space ., then the spaces spanned by subsequences of the H.s. are complemented in .. These spaces can be characterized in the following form.

流出 发表于 2025-3-26 02:17:36

https://doi.org/10.1007/978-94-011-2950-3A.M. Olevskii investigated some orthonormal system which is closely connected with the H.s..

中子 发表于 2025-3-26 04:35:08

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nascent 发表于 2025-3-26 12:31:28

Convergence of Haar Series,One of the main propeties of the H.s. is that it forms a basis in ., .. (1 ≤ . < ∞) and moreover in a separable r.i. space. Any function χ.(.) (. > 1) is discontinuous. Therefore if . ∈ ., then the convergence ... to . is meant in ...

倔强一点 发表于 2025-3-26 13:21:40

Basis Properties of the Haar System,Theorem 3.2 shows that the H.s. forms a basis in .., 1 ≤ p < ∞. This statement may be generalized.

Hemiparesis 发表于 2025-3-26 17:24:32

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查看完整版本: Titlebook: Haar Series and Linear Operators; Igor Novikov,Evgenij Semenov Book 1997 Springer Science+Business Media Dordrecht 1997 DEX.Equivalence.Ma