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- Space Telescope Science InstituteUS138 papers
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- University of MichiganUS64 papers
- Oak Ridge National LaboratoryUS62 papers
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6 papers · 1 filter
The -ideal structure of some algebras of bounded linear operators
Nigel J. Kalton, Dirk Werner
Let . It is shown for complex scalars that there are no nontrivial -ideals in if , and is the only nontrivial -ide…
How to Estimate Energy Lost to Gravitational Waves (revised)
Adam D. Helfer
The energy--momentum radiated in gravitational waves by an isolated source is given by a formula of Bondi. This formula is highly non--local: the energy--momentum is not given as t…
Twistors and the BMS Group
Adam D. Helfer
We compute the motions of null infinity to which the components of the angular momentum of the gravitational field, as defined by Penrose, are conjugate. We find that the boosts ar…
A Phase Space for Gravitational Radiation
Adam D. Helfer
We give a new definition, based on considerations of well-posedness for a certain asymptotic initial value problem, of the phase space for the radiative degrees of freedom of the g…
Evolutionary Semigroups and Lyapunov Theorems in Banach Spaces
Yuri D. Latushkin, Stephen J. Montgomery-Smith
We present a spectral mapping theorem for continuous semigroups of operators on any Banach space . The condition for the hyperbolicity of a semigroup on is given in terms of…
Periodic Solutions of a System of Coupled Oscillators Near Resonance
Carmen Chicone
Summary: A system of autonomous ordinary differential equations depending on a small parameter is considered such that the unperturbed system has an invariant manifold of periodic…