1988
DOI: 10.1017/s0004972700027258
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A note on annihilator Banach algebras

Abstract: Let A be a semisimple Banach algebra with || • ||, which is a dense subalgebra of a semisimple Banach algebra B with | • | such that || • || majorises | • | on A. The purpose of this paper is to investigate the aniuhilator property between the algebras A and B.

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(1 citation statement)
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“…Magnetized plasmas covering many orders of magnitude in size, from earth-bound devices such as the tokamak [1], to planetary aurora [2] and stellar systems [3] exhibit a type of electromagnetic oscillation known as the shear Alfvén wave [4]. In tokamaks, shear Alfvén waves can be destabilized by the radial gradient of the energetic ion pressure [1], which may arise from ion-cyclotron resonance heating (ICRH) [5], neutral beam heating [6] or fusionborn alphas [7]. Shear Alfvén waves have the potential to enhance the loss of energetic ions through resonant transport [8,9], an important consideration for future burning plasma experiments.…”
Section: Introductionmentioning
confidence: 99%
“…Magnetized plasmas covering many orders of magnitude in size, from earth-bound devices such as the tokamak [1], to planetary aurora [2] and stellar systems [3] exhibit a type of electromagnetic oscillation known as the shear Alfvén wave [4]. In tokamaks, shear Alfvén waves can be destabilized by the radial gradient of the energetic ion pressure [1], which may arise from ion-cyclotron resonance heating (ICRH) [5], neutral beam heating [6] or fusionborn alphas [7]. Shear Alfvén waves have the potential to enhance the loss of energetic ions through resonant transport [8,9], an important consideration for future burning plasma experiments.…”
Section: Introductionmentioning
confidence: 99%