Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces

Dodzi Attimu; Toka Diagana

Commentationes Mathematicae Universitatis Carolinae (2009)

  • Volume: 50, Issue: 1, page 37-60
  • ISSN: 0010-2628

Abstract

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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 , ω , 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.

How to cite

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Attimu, Dodzi, and Diagana, Toka. "Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces." Commentationes Mathematicae Universitatis Carolinae 50.1 (2009): 37-60. <http://eudml.org/doc/32479>.

@article{Attimu2009,
abstract = {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 $W(c_0(\{J\},\omega ,\mathbb \{K\}))$ 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.},
author = {Attimu, Dodzi, Diagana, Toka},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {non-archimedean Banach space; Shnirelman integral; spectrum; unbounded linear operator; functional calculus; non-archimedean Banach space; Shnirelman integral; spectrum; unbounded linear operator; functional calculus},
language = {eng},
number = {1},
pages = {37-60},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces},
url = {http://eudml.org/doc/32479},
volume = {50},
year = {2009},
}

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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 1
SP - 37
EP - 60
AB - 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 $W(c_0({J},\omega ,\mathbb {K}))$ 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.
LA - eng
KW - non-archimedean Banach space; Shnirelman integral; spectrum; unbounded linear operator; functional calculus; non-archimedean Banach space; Shnirelman integral; spectrum; unbounded linear operator; functional calculus
UR - http://eudml.org/doc/32479
ER -

References

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