A new proof for the bornologicity of the space of slowly increasing functions

zbMath1331.46065arXiv1406.0411MaRDI QIDQ2258521

Julian Larcher, Jochen Wengenroth

Publication date: 26 February 2015

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0411

zbMATH Keywords

derived projective limit functorrapidly decreasing distributionsslowly increasing function

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Barrelled spaces, bornological spaces (46A08) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (6)

Weighted (\textit{PLB})-spaces of ultradifferentiable functions and multiplier spaces ⋮ Spectra and ergodic properties of multiplication and convolution operators on the space \(\mathcal{S}(\mathbb{R})\) ⋮ Topological properties of convolutor spaces via the short-time Fourier transform ⋮ On the space of Laplace transformable distributions ⋮ Multipliers on \(\mathcal{S}_{\omega } (\mathbb{R}^N)\) ⋮ Convolutors on \(\mathcal{S}_{\omega}(\mathbb{R}^N)\)

This page was built for publication: A new proof for the bornologicity of the space of slowly increasing functions