Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications

Diagana, Toka

Towards a theory of some unbounded linear operators on

p

-adic Hilbert spaces and applications

Diagana, Toka

Annales mathématiques Blaise Pascal, Tome 12 (2005), p. 205-222 / Harvested from Numdam

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Résumé

We are concerned with some unbounded linear operators on the so-called $p$ -adic Hilbert space $𝔼_{ω}$ . Both the Closedness and the self-adjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on $𝔼_{ω}$ , and the solvability of the equation $A u = v$ where $A$ is a linear operator on $𝔼_{ω}$ .

Publié le : 2005-01-01

MR 2126449 | Zbl 1087.47061 | 1 citation dans Numdam

DOI : https://doi.org/10.5802/ambp.203

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     author = {Diagana, Toka},
     title = {Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {12},
     year = {2005},
     pages = {205-222},
     doi = {10.5802/ambp.203},
     zbl = {1087.47061},
     mrnumber = {2126449},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2005__12_1_205_0}
}

Diagana, Toka. Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications. Annales mathématiques Blaise Pascal, Tome 12 (2005) pp. 205-222. doi : 10.5802/ambp.203. http://gdmltest.u-ga.fr/item/AMBP_2005__12_1_205_0/

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