Results 181 to 190 of about 287,361 (225)
The topology of molecular representations and its influence on machine learning performance. [PDF]
J CheminformRottach F, Schieferdecker S, Eickhoff C.
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Topological layer Hall effect in two-dimensional type-I multiferroic heterostructure. [PDF]
Nat CommunDu W +6 more
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Merging of Accidental Bound States in the Continuum in Symmetry and Symmetry-Broken Terahertz Photonic Crystal Slabs. [PDF]
Nanomaterials (Basel)Chen J, Liu J, Shu F, Du Y, Hong Z.
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Topological Vector Spaces [PDF]
, 1982 Vector spaces will be considered as vector spaces over ℂ unless something else is specified. The symbols Hom(X, Y) resp. Sur(X, Y) will be reserved for sets of continuous homomorphisms resp. surjective homomor-phisms; End(X) is the set of continuous endomorphisms and Aut(E) is the set of continuous automorphisms (bijective and bicontinuous ...
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1994
One way to think of functional analysis is as the branch of mathematics that studies the extent to which the properties possessed by finite dimensional spaces generalize to infinite dimensional spaces. In the finite dimensional case there is only one natural linear topology.
Kim C. Border, Charalambos D. Aliprantis
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One way to think of functional analysis is as the branch of mathematics that studies the extent to which the properties possessed by finite dimensional spaces generalize to infinite dimensional spaces. In the finite dimensional case there is only one natural linear topology.
Kim C. Border, Charalambos D. Aliprantis
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Journal of the London Mathematical Society, 1965
Definition 1. (a) A set E u is said to be a topological vector space (or, in short, a TVS) over a given field K, if E u as a pointset is a topological space and a vector space over K such that the mappings: $$\begin{gathered} (x,y) \to x + y, \hfill \\ (\lambda ,x) \to \lambda x \hfill \\ \end{gathered}$$ are continuous in both variables ...
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Definition 1. (a) A set E u is said to be a topological vector space (or, in short, a TVS) over a given field K, if E u as a pointset is a topological space and a vector space over K such that the mappings: $$\begin{gathered} (x,y) \to x + y, \hfill \\ (\lambda ,x) \to \lambda x \hfill \\ \end{gathered}$$ are continuous in both variables ...
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Sequential convergence in topological vector spaces [PDF]
Georgian Mathematical Journal, 1995 Abstract For a given linear topology τ, on a vector space E, the finest linear topology having the same τ convergent sequences, and the finest linear topology on E having the same τ precompact sets, are investigated. Also, the sequentially bornological spaces and the sequentially barreled spaces are introduced and some of their ...
V. Benekas, A. K. Katsaras
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2014
The main objective of this chapter is to present an outline of the basic tools of analysis necessary to develop the subsequent chapters. The results addressed include the open mapping and closed graph theorems and an introduction to Hilbert spaces. We assume the reader has a background in linear algebra and elementary real analysis at an undergraduate ...
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The main objective of this chapter is to present an outline of the basic tools of analysis necessary to develop the subsequent chapters. The results addressed include the open mapping and closed graph theorems and an introduction to Hilbert spaces. We assume the reader has a background in linear algebra and elementary real analysis at an undergraduate ...
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