Transactions of the American Mathematical Society

Author(s): Luigi De Pascale; Eugene Stepanov
Journal: Trans. Amer. Math. Soc. 352 (2000), 3707-3721.
MSC (1991): Primary 47B38, 47A67, 34K05
Posted: March 2, 2000
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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.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 47B38, 47A67, 34K05

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

DOI: 10.1090/S0002-9947-00-02510-1
PII: S 0002-9947(00)02510-1
Received by editor(s): May 5, 1997
Received by editor(s) in revised form: March 11, 1998
Posted: March 2, 2000
Dedicated: Dedicated to N.V. Azbelev on the occasion of his 75th birthday
Copyright of article: Copyright 2000, American Mathematical Society

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