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Urban Underground Space Planning Idea and Path Based on a “Dual-Use” Concept [PDF]

中国工程科学
As global climate change and urbanization processes accelerate, the risks of compound disasters have significantly increased, rendering traditional disaster prevention facilities inadequate for meeting emergency demands under extreme scenarios. The “dual-
Wei Wang, Junyi Zhu, Guosheng Wang, Xiaodong Guo, Yuan Jiang, Dechun Lu   +5 more
doaj   +1 more source

Dual of Modulation Spaces with Variable Smoothness and Integrability

Journal of Function Spaces, 2022
In this article, we first give a proof for the denseness of the Schwartz class in the modulation spaces with variable smoothness and integrability. Then, we study the dual spaces of such modulation spaces.
Hua Zhu
doaj   +1 more source

Patching DFT, T-duality and gerbes

Journal of High Energy Physics, 2017
We clarify the role of the dual coordinates as described from the perspectives of the Buscher T-duality rules and Double Field Theory. We show that the T-duality angular dual coordinates cannot be identified with Double Field Theory dual coordinates in ...
P.S. Howe, G. Papadopoulos
doaj   +1 more source

Weighted Central BMO Spaces and Their Applications

Journal of Function Spaces, 2021
In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
doaj   +1 more source

Strictly convex norms and topology

, 2010
We introduce a new topological property called (*) and the corresponding class of topological spaces, which includes spaces with $G_\delta$-diagonals and Gruenhage spaces.
Orihuela, José, Smith, Richard J., Troyanski, Stanimir   +2 more
core   +1 more source

Dual pairs of sequence spaces

International Journal of Mathematics and Mathematical Sciences, 2001
The paper aims to develop for sequence spaces E a general concept for reconciling certain results, for example inclusion theorems, concerning generalizations of the Köthe-Toeplitz duals E×(×∈{α,β}) combined with dualities (E,G),G⊂E×, and the SAK-property
Johann Boos, Toivo Leiger
doaj   +1 more source

Characterizations of the dilation of frame generator dual pairs for group

Journal of Inequalities and Applications, 2019
In this paper, we are interested in the dilation problem on frame generator dual pairs for a unitary representation in Hilbert spaces. We show the existence of a Riesz generator dilation dual pair of a frame generator dual pair in Hilbert spaces. Then we
Liang Li, Pengtong Li
doaj   +1 more source

K-frames for Banach Spaces

Journal of Function Spaces, 2022
In order to reconstruct elements from the range of a linear bounded operator K on a separable Banach space, concepts of K-frames and K∗-atomic systems for Banach spaces are introduced, the relationship between the two is discussed, and the sufficient ...
Baoguang Sun, Chunyan Li
doaj   +1 more source

Connections between metric characterizations of superreflexivity and the Radon-Nikod\'ym property for dual Banach spaces

, 2014
Johnson and Schechtman (2009) characterized superreflexivity in terms of finite diamond graphs. The present author characterized the Radon-Nikod\'ym property (RNP) for dual spaces in terms of the infinite diamond.
Ostrovskii, Mikhail I.
core   +1 more source

Geometric duality theory of cones in dual pairs of vector spaces [PDF]

, 2015
This paper will generalize what may be termed the "geometric duality theory" of real pre-ordered Banach spaces which relates geometric properties of a closed cone in a real Banach space, to geometric properties of the dual cone in the dual Banach space ...
Messerschmidt, Miek
core   +1 more source