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On Qian's problem for $\mathcal{L}_{\inf...

Dai, Duanxu...

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On Qian's problem for $\mathcal{L}_{\infty}$-spaces by Dai, Duanxu ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	In this paper we devote to study Qian's problem for $\mathcal{L}_{\infty}$-spaces. Firstly, a positive answer to Qian's problem for $C(K)$-spaces is given by the assumption that $K$ has the C$\check{e}$ch-Stone property. Secondly, we obtain quantitative characterizations of separably injective spaces that turn out to give a positive answer to Qian's problem of 1995 in the setting of separable universality. Thirdly, we prove a sharpen quantitative and generalized Sobczyk theorem, which gives sharpen constants ($\alpha,\gamma$) for Qian's Problem. Finally, we give a more generalized Figiel theorem for $\mathcal{L}_{\infty}$-spaces.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1402.2123

Citation

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AMA 11th EditionReferences

Dai, Duanxu. On Qian's problem for $\mathcal{L}_{\infty}$-spaces. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/23107

APA 7th EditionReferences

Dai, Duanxu. (2023). On Qian's problem for $\mathcal{L}_{\infty}$-spaces. Australian National University. https://online.provdatabase.com/cite/23107

Chicago 17th EditionReferences

Dai, Duanxu. On Qian's problem for $\mathcal{L}_{\infty}$-spaces. Australian National University. 2023. https://online.provdatabase.com/cite/23107

HarvardReferences

Dai, Duanxu. (2023). On Qian's problem for $\mathcal{L}_{\infty}$-spaces. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23107. (Accessed 20 September 2024).

Harvard AustraliaReferences

Dai, Duanxu, 2023, On Qian's problem for $\mathcal{L}_{\infty}$-spaces, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/23107>

MLA 9th EditionWorks Cited

Dai, Duanxu. On Qian's problem for $\mathcal{L}_{\infty}$-spaces. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23107.

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