Results 51 to 60 of about 507 (79)

Higher spectral flow and an entire bivariant JLO cocycle

, 2012
Given a smooth fibration of closed manifolds and a family of generalised Dirac operators along the fibers, we define an associated bivariant JLO cocycle. We then prove that, for any $\ell \geq 0$, our bivariant JLO cocycle is entire when we endow smoooth
Benameur, Moulay-Tahar, Carey, Alan L.
core   +3 more sources

Topologies of (strong) uniform convergence on bornologies

, 2012
We continue the study of topologies of strong uniform convergence on bornologies initiated in [G. Beer and S. Levi, Strong uniform continuity, J. Math Anal. Appl., 350:568-589, 2009] and [G. Beer and S. Levi, Uniform continuity, uniform convergence and shields, Set-Valued and Variational Analysis, 18:251-275, 2010].
Holá, Lubica, Novotný, Branislav
openaire   +2 more sources

Orbifold cup products and ring structures on Hochschild cohomologies

, 2007
In this paper we study the Hochschild cohomology ring of convolution algebras associated to orbifolds, as well as their deformation quantizations. In the first case the ring structure is given in terms of a wedge product on twisted polyvectorfields on ...
Pflaum, M. J., Posthuma, H. B., Tang, X., Tseng, H. -H.   +3 more
core  

Una caracterización de la propiedad de aproximación en espacios bornológicos convexos [PDF]

, 1981
Se introduce en el espacio C1(E) de funciones diferenciables con derivada acotada en el espacio bornológico convexo E, la noción de convergencia B-uniforme relativa a una familia de conjuntos estrictamente compactos de B de E.
García Lafuente, José María, Romero Marzal, Luis   +1 more
core  

The Singularity Theorems of General Relativity and Their Low Regularity Extensions. [PDF]

Jahresber Dtsch Math Ver, 2023
Steinbauer R.
europepmc   +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  

Convergence of Partial maps via bornology through ideal and its Characterization

, 2016
In this paper we consider the idea of I - convergence of nets of partial function from a metric space (X; d) to a metric space (Y; ?) and derive several basic characterization. This idea extends the concept of convergence of nets of partial function introduced by G. Beer et.al [1].
Malik, Prasanta, Ghosh, Argha
openaire   +2 more sources

Complete metrizability of topologies of strong uniform convergence on bornologies

Journal of Mathematical Analysis and Applications, 2012
It is well-known that if \(X\) is locally compact and Lindelöf then the compact-open topology on the set of real-valued continuous functions is completely metrizable, see \textit{R. F. Arens} [Ann. Math. (2) 47, 480--495 (1946; Zbl 0060.39704)]; the key property here is that there is a countable family of compact sets whose interiors cover~\(X\).
openaire   +2 more sources

Hyperspace convergences, bornologies and geometric set functionals

23 ...
Agarwal, Yogesh, Jindal, Varun
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Mackey convergence and separation in $(L, M)$-fuzzy bornological vector spaces

Hacettepe Journal of Mathematics and Statistics
This paper aims to introduce the concepts of Mackey convergence degree for sequences and separation degree for spaces in $(L, M)$-fuzzy bornological vector spaces. Additionally, the paper presents the concept of bornological closure degree for fuzzy sets. Moreover, the paper discusses various characteristics of these concepts.
Yu Shen, C. H. Yan
openaire   +2 more sources