Results 61 to 70 of about 1,340 (86)

A geometrical constant and normal normal structure in Banach Spaces

Journal of Inequalities and Applications, 2011
Recently, we introduced a new coefficient as a generalization of the modulus of smoothness and Pythagorean modulus such as JX , p (t). In this paper, We can compute the constant JX , p (1) under the absolute normalized norms on ℝ2 by means of ...
Zuo Zhanfei
doaj  

Generalization of a theorem of Zippin [PDF]

arXiv, 2017
We generalize and prove a result which was first shown by Zippin, and was explicitly formulated by Benyamini.
arxiv  

Remark on the Daugavet property for complex Banach spaces

Demonstratio Mathematica
In this article, we study the Daugavet property and the diametral diameter two properties (DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ\Delta -points are revisited in the context of complex Banach spaces. We also provide
Lee Han Ju, Tag Hyung-Joon
doaj   +1 more source

Homogeneity of isosceles orthogonality and related inequalities

Journal of Inequalities and Applications, 2011
We study the homogeneity of isosceles orthogonality, which is one of the most important orthogonality types in normed linear spaces, from two viewpoints.
Wu Senlin, Hao Cuixia
doaj  

A Banach space block finitely universal for monotone bases [PDF]

arXiv, 1996
A reflexive Banach space $X$ with a basis $(e_i)$ is constructed having the property that every monotone basis is block finitely representable in each block basis of $X$.
arxiv  

Erratum to: ``Banach spaces without local unconditional structure'' [PDF]

arXiv, 1996
This note contains a corrected proof of the main result (which remains unchanged) from [K-T]. It was recently observed that an argument in a basic technical criterium has a gap.
arxiv  

Angular measures and Birkhoff orthogonality in Minkowski planes. [PDF]

Aequ Math, 2020
Naszódi M, Prokaj V, Swanepoel K.
europepmc   +1 more source

Remarks about Schlumprecht space [PDF]

arXiv, 1998
We prove that Schlumprecht space $S$ is isomorphic to $(\sum_{k=1}^\infty \oplus \ell_infty ^{n_k})_S $ for any sequence of integers $(n_k)$. We also show that every complemented subspace of $S$ which has some subsymmetric basis, is isomorphic to $S$.
arxiv  

Some Remarks on Vector-Valued Integration [PDF]

arXiv, 1999
The article presents a new method of integration of functions with values in Banach spaces. This integral and related notions prove to be a useful tool in the study of Banach space geomtry.
arxiv  

Subspaces of c_0 and Lipschitz isomorphisms [PDF]

arXiv, 1999
We show that the class of subspaces of c_0 is stable under Lipschitz isomorphisms. The main corollary is that any Banach space which is Lipschitz isomorphic to c_0 is linearly isomorphic to c_0.
arxiv