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

Diagana, Toka

doi:10.5802/ambp.203

Towards a theory of some unbounded linear operators on

p

-adic Hilbert spaces and applications

Diagana, Toka ¹

¹ Howard University Department of Mathematics 2441 6th Street N.W. Washington, D.C. 20059 U.S.A.

Annales mathématiques Blaise Pascal, Tome 12 (2005) no. 1, pp. 205-222.

corrigé par Erratum to: “Towards a theory of some unbounded linear operators on

p

-adic Hilbert spaces and applications”

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 $𝔼_{ω}$ .

MR Zbl | 1 citation dans Numdam

DOI : 10.5802/ambp.203

Affiliations des auteurs :

Diagana, Toka ¹

¹ Howard University Department of Mathematics 2441 6th Street N.W. Washington, D.C. 20059 U.S.A.

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Diagana, Toka. Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications. Annales mathématiques Blaise Pascal, Tome 12 (2005) no. 1, pp. 205-222. doi : 10.5802/ambp.203. http://www.numdam.org/articles/10.5802/ambp.203/

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