Results 21 to 30 of about 81,509 (95)

Functional analysis on two-dimensional local fields

, 2013
We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces from a functional analytic point of view: in particular we study bounded, c-
Camara, Alberto
core   +1 more source

Closed graph theorems for bornological spaces

, 2015
The aim of this paper is that of discussing Closed Graph Theorems for bornological vector spaces in a way which is accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over $\mathbb{R}$ and $\mathbb{C}$ to
Bambozzi, Federico
core   +1 more source

The geometry of characters of Hopf algebras

, 2017
Character groups of Hopf algebras appear in a variety of mathematical contexts such as non-commutative geometry, renormalisation of quantum field theory, numerical analysis and the theory of regularity structures for stochastic partial differential ...
Bogfjellmo, Geir, Schmeding, Alexander
core   +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

Spectral Radii of Bounded Operators on Topological Vector Spaces [PDF]

, 2000
In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological ...
Troitsky, Vladimir G.
core  

A convenient category of locally preordered spaces

, 2008
As a practical foundation for a homotopy theory of abstract spacetime, we extend a category of certain compact partially ordered spaces to a convenient category of locally preordered spaces.
A. Patchkoria, C.C. Squier, E. Goubault, E. Goubault, E. Goubault, F. Borceux, G. Gierz, K. Brown, L. Fajstrup, L. Fajstrup, L. Nachbin, M. Grandis, M. Grandis, M. Grandis, M. Grandis, N. Steenrod, P. Bubenik, P. Gaucher, Sanjeevi Krishnan, U. Fahrenberg, Y. Kobayashi, Y. Kobayashi, Y. Lafont   +22 more
core   +4 more sources

Differential Calculus, Manifolds and Lie Groups over Arbitrary Infinite Fields

, 2003
We present an axiomatic approach to finite- and infinite-dimensional differential calculus over arbitrary infinite fields (and, more generally, suitable rings). The corresponding basic theory of manifolds and Lie groups is developed. Special attention is
Bertram, Wolfgang, Glockner, Helge, Neeb, Karl-Hermann   +2 more
core  

Homotopy groups of ascending unions of infinite-dimensional manifolds [PDF]

, 2010
Let M be a topological manifold modelled on topological vector spaces, which is the union of an ascending sequence of such manifolds M_n. We formulate a mild condition ensuring that the k-th homotopy group of M is the direct limit of the k-th homotopy ...
Glockner, Helge
core  

Regular Lie groups and a theorem of Lie-Palais

, 1994
In 1984 Milnor had shown how to deduce the Lie-Palais theorem on integration of infinitesimal actions of finite-dimensional Lie algebras on compact manifolds from general theory of regular Lie groups modelled on locally convex spaces. We show how, in the
Pestov, Vladimir G.
core   +3 more sources

Ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source