We are concerned with some unbounded linear operators on the so-called -adic Hilbert space . Both the Closedness and the self-adjointness of those unbounded linear operators are investigated. As applications, we shall consider the diagonal operator on , and the solvability of the equation where is a linear operator on .
@article{AMBP_2005__12_1_205_0, 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}, pages = {205--222}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {12}, number = {1}, year = {2005}, doi = {10.5802/ambp.203}, zbl = {1087.47061}, mrnumber = {2126449}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/ambp.203/} }
TY - JOUR AU - Diagana, Toka TI - Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications JO - Annales mathématiques Blaise Pascal PY - 2005 SP - 205 EP - 222 VL - 12 IS - 1 PB - Annales mathématiques Blaise Pascal UR - http://archive.numdam.org/articles/10.5802/ambp.203/ DO - 10.5802/ambp.203 LA - en ID - AMBP_2005__12_1_205_0 ER -
%0 Journal Article %A Diagana, Toka %T Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications %J Annales mathématiques Blaise Pascal %D 2005 %P 205-222 %V 12 %N 1 %I Annales mathématiques Blaise Pascal %U http://archive.numdam.org/articles/10.5802/ambp.203/ %R 10.5802/ambp.203 %G en %F 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) no. 1, pp. 205-222. doi : 10.5802/ambp.203. http://archive.numdam.org/articles/10.5802/ambp.203/
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