Geodesic
Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 37-60 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

This paper is mainly concerned with extensions of the so-called Vishik functional calculus for analytic bounded linear operators to a class of unbounded linear operators on $c_0$. For that, our first task consists of introducing a new class of linear operators denoted $W(c_0({J},\omega,\Bbb K))$ and next we make extensive use of such a new class along with the concept of convergence in the sense of resolvents to construct a functional calculus for a large class of unbounded linear operators.
This paper is mainly concerned with extensions of the so-called Vishik functional calculus for analytic bounded linear operators to a class of unbounded linear operators on $c_0$. For that, our first task consists of introducing a new class of linear operators denoted $W(c_0({J},\omega,\Bbb K))$ and next we make extensive use of such a new class along with the concept of convergence in the sense of resolvents to construct a functional calculus for a large class of unbounded linear operators.
Classification : 12G25, 26E30, 46S10, 47S10
Keywords: non-archimedean Banach space; Shnirelman integral; spectrum; unbounded linear operator; functional calculus 
@article{CMUC_2009_50_1_a3,
     author = {Attimu, Dodzi and Diagana, Toka},
     title = {Functional calculus for a class of unbounded linear operators on some non-archimedean {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {37--60},
     year = {2009},
     volume = {50},
     number = {1},
     mrnumber = {2562802},
     zbl = {1212.47125},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2009_50_1_a3/}
}
TY  - JOUR
AU  - Attimu, Dodzi
AU  - Diagana, Toka
TI  - Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2009
SP  - 37
EP  - 60
VL  - 50
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMUC_2009_50_1_a3/
LA  - en
ID  - CMUC_2009_50_1_a3
ER  - 
%0 Journal Article
%A Attimu, Dodzi
%A Diagana, Toka
%T Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 2009
%P 37-60
%V 50
%N 1
%U http://geodesic.mathdoc.fr/item/CMUC_2009_50_1_a3/
%G en
%F CMUC_2009_50_1_a3
Attimu, Dodzi; Diagana, Toka. Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 37-60. http://geodesic.mathdoc.fr/item/CMUC_2009_50_1_a3/