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Function spaces of completely metrizable spaces [PDF]
Let X X and Y Y be metric spaces and let ϕ : C p ( X ) → C p ( Y ) \phi :{C_p}(X) \to {C_p}(Y) (resp. ϕ :
Baars, Jan, de Groot, Joost, Pelant, Jan
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Dual uniformities in function spaces over uniform continuity
The notion of dual uniformity is introduced on UC(Y,Z)UC(Y,Z), the uniform space of uniformly continuous mappings between YY and ZZ, where (Y,V)(Y,{\mathcal{V}}) and (Z,U)(Z,{\mathcal{U}}) are two uniform spaces.
Gupta Ankit +3 more
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On the continuity of functors of the type C(X, Y)
We consider the category P, the objects of which are pairs of topological spaces (X, Y). Each such pair (X, Y) is assigned the space of continuous maps Cτ(X, Y) with some topology τ.
Hleb O. Kukrak, Vladimir L. Timokhovich
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A study of uniformities on the space of uniformly continuous mappings
New families of uniformities are introduced on UC(X,Y)UC(X,Y), the class of uniformly continuous mappings between X and Y, where (X,U)(X,{\mathcal{U}}) and (Y,V)(Y,{\mathcal{V}}) are uniform spaces.
Gupta Ankit +3 more
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The solar light response and photoelectrons produced by widespread semiconducting mineral play important roles in biogeochemical cycles on Earth’s surface. To explore the potential influence of photoelectrons generated by semiconducting mineral particles
Ying Liu +4 more
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A Method of Function Space for Vertical Impedance Function of a Circular Rigid Foundation on a Transversely Isotropic Ground [PDF]
This paper is concerned with investigation of vertical impedance function of a surface rigid circular foundation resting on a semi-infinite transversely isotropic alluvium.
Morteza Eskandari-Ghadi +2 more
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Every metric space is separable in function realizability [PDF]
We first show that in the function realizability topos every metric space is separable, and every object with decidable equality is countable. More generally, working with synthetic topology, every $T_0$-space is separable and every discrete space is ...
Bauer, Andrej, Swan, Andrew
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On the Dirichlet problem for an elliptic equation
It is well known that the concept of a generalized solution from the Sobolev space $W_2^1$ of the Dirichlet problem for a second order elliptic equation is not a generalization of the classical solution sensu stricto: not every continuous function on the
Anatolii K Gushchin
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On Function Spaces on Symmetric Spaces [PDF]
8 ...
Krötz, Bernhard, Schlichtkrull, Henrik
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Operator theory and function theory in Drury-Arveson space and its quotients [PDF]
The Drury-Arveson space $H^2_d$, also known as symmetric Fock space or the $d$-shift space, is a Hilbert function space that has a natural $d$-tuple of operators acting on it, which gives it the structure of a Hilbert module.
A Arias +93 more
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