a remark on the stability of approximative compactness
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ID: 193943
2016
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Abstract
We study the stability of approximative τ-compactness, where τ is the norm or the weak topology. Let Λ be an index set and for every λ∈Λ, let Yλ be a subspace of a Banach space Xλ. For 1≤p<∞, let X=⊕lpXλ and Y=⊕lpYλ. We prove that Y (resp., BY) is approximatively τ-compact in X if and only if, for every λ∈Λ, Yλ (resp., BYλ) is approximatively τ-compact in Xλ.
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| Reference Key |
luo2016journala
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|---|---|
| Authors | ;Zhenghua Luo;Longfa Sun;Wen Zhang |
| Journal | Biosensors |
| Year | 2016 |
| DOI |
10.1155/2016/2734947
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| URL | |
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