Banach Space Theory

By Marian J. Fabian, Petr Habala, P. Hájek, V. Montesinos, V. Zizler. 2011

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The non-linear geometry of Banach spaces after Nigel Kalton (2012, unknown): “From the recent textbooks that may be used in the area we mention [4] and [29].”
The algebra of conditional sets and the concepts of conditional topology and compactness (2013, methodology): “We will close this paper by showing the conditional version of the Krein-Šmulian Theorem, adapting the argumentation in [11].”
Approximation properties and Schauder decompositions in Lipschitz-free spaces (2012, background): “This will imply that Sn = T ∗ n , where Tn is a finite-rank operator on F(M) (see [3], Corollary 3.”
Geometric Structures in Tensor Representations (Final Release) (2013, unknown): “ces of X. U∈ G(X) holds if and only if U is a closed subspace and there exists a closed subspace V in Xsuch that X= U⊕ V.Observe that Xand {0} are in G(X).Moreover, by the proof of Proposition 4.2 of [10], the following result can be shown. Proposition 3.4 Let Xbe a Banach space. The following condi”