Weak and Strong Density of Compositions
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- by Luigi De Pascale and Eugene Stepanov PDF
- Trans. Amer. Math. Soc. 352 (2000), 3707-3721 Request permission
Abstract:
The convergence in various topologies of sequences of inner superposition (composition) operators acting between Lebesgue spaces and of their linear combinations is studied. In particular, the sequential density results for the linear span of such operators is proved for the weak, weak continuous and strong operator topologies.References
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Additional Information
- Luigi De Pascale
- Affiliation: Dipartimento di Matematica, Universitá di Pisa, via Buonarrotti 2, 56127 Pisa, Italy; Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
- Email: depascal@dm.unipi.it
- Eugene Stepanov
- Affiliation: Computer Technology Department, St. Petersburg Inst. of Fine Mechanics and Optics, 14 Sablinskaya ul., 197101 St. Petersburg, Russia
- Received by editor(s): May 5, 1997
- Received by editor(s) in revised form: March 11, 1998
- Published electronically: March 2, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 3707-3721
- MSC (1991): Primary 47B38, 47A67, 34K05
- DOI: https://doi.org/10.1090/S0002-9947-00-02510-1
- MathSciNet review: 1675182
Dedicated: Dedicated to N.V. Azbelev on the occasion of his 75th birthday