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Weakly compactly generated Frechet spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1979 It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent
Surjit Singh Khurana
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The ideal of weakly compactly generated operators acting on a Banach space [PDF]
Journal of Operator Theory, 2013 We call a bounded linear operator acting between Banach spaces weakly compactly generated ($\mathsf{WCG}$ for short) if its range is contained in a weakly compactly generated subspace of its codomain.
Kania, Tomasz, Kochanek, Tomasz
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Observations on the Separable Quotient Problem for Banach Spaces
Axioms, 2020 The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
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Eilenberg–Mac Lane Spaces for Topological Groups
Axioms, 2019 In this paper, we establish a topological version of the notion of an Eilenberg−Mac Lane space. If X is a pointed topological space, π 1 ( X ) has a natural topology coming from the compact-open topology on the space of maps S
Ged Corob Cook
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Quantum Field Theory on Spacetimes with a Compactly Generated Cauchy Horizon [PDF]
, 1997 We prove two theorems which concern difficulties in the formulation of the quantum theory of a linear scalar field on a spacetime, (M,g_{ab}), with a compactly generated Cauchy horizon.
Kay, Bernard S. +2 more
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Quasi-free resolutions of Hilbert modules [PDF]
, 2003 The notion of a quasi-free Hilbert module over a function algebra $\mathcal{A}$ consisting of holomorphic functions on a bounded domain $\Omega$ in complex $m$ space is introduced.
Douglas, Ronald G., Misra, Gadadhar
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A local characterization of Kazhdan projections and applications [PDF]
, 2018 We give a local characterization of the existence of Kazhdan projections for arbitary families of Banach space representations of a compactly generated locally compact group $G$.
de la Salle, Mikael
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Module categories for group algebras over commutative rings [PDF]
, 2012 We develop a suitable version of the stable module category of a finite group G over an arbitrary commutative ring k. The purpose of the construction is to produce a compactly generated triangulated category whose compact objects are the finitely ...
Benson, Dave +3 more
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Completely bounded bimodule maps and spectral synthesis [PDF]
, 2017 We initiate the study of the completely bounded multipliers of the Haagerup tensor product $A(G)\otimes_{\rm h} A(G)$ of two copies of the Fourier algebra $A(G)$ of a locally compact group $G$. If $E$ is a closed subset of $G$ we let $E^{\sharp} = \{(s,t)
Alaghmandan, M. +2 more
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Smooth and polyhedral approximation in Banach spaces
, 2015 We show that norms on certain Banach spaces $X$ can be approximated uniformly, and with arbitrary precision, on bounded subsets of $X$ by $C^{\infty}$ smooth norms and polyhedral norms.
Bible, Victor, Smith, Richard J.
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