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Non-three space properties and Szlenk index

Journal of Mathematical Analysis and Applications, 2020
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Szlenk index of $C(K)\widehat{\otimes}_��C(L)$

2020
We compute the Szlenk index of an arbitrary projective tensor product $C(K)\widehat{\otimes}_ C(L)$ of spaces $C(K), C(L)$ of continuous functions on scattered, compact, Hausdorff spaces. In particular, we show that it is simply equal to the maximum of the Szlenk indices of the spaces $C(K), C(L)$.
Causey, R. M., Galego, E., Samuel, C.
openaire   +1 more source

On Asymptotic Structure, the Szlenk Index and UKK Properties in Banach Spaces

Positivity, 1999
Let \(B\) stand for a separable Banach space with a separable dual. If the Szlenk index \(S(B,\varepsilon)\) is finite for each \(\varepsilon > 0\), then \(B\) can be renormed so as to have the weak\(^*\) uniform Kadec-Klee property.
Knaust, H., Odell, E., Schlumprecht, Th.
openaire   +2 more sources

Near-zero-index materials for photonics

Nature Reviews Materials, 2019
Nathaniel Kinsey   +2 more
exaly  

An Overview of Global Leaf Area Index (LAI): Methods, Products, Validation, and Applications

Reviews of Geophysics, 2019
Hongliang Fang   +2 more
exaly  

The Body-Mass Index, Airflow Obstruction, Dyspnea, and Exercise Capacity Index in Chronic Obstructive Pulmonary Disease

New England Journal of Medicine, 2004
Bartolome R Celli   +2 more
exaly  

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