Add to ORKGIt is proved that every infinite-dimensional non-archimedean Banach space of countable type admits a linear continuous operator without a non-trivial closed invariant subspace. This solves a problem stated by A. C. M. van Rooij and W. H. Schikhof in 1992
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact op...
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing th...
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing th...
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing th...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
AbstractLet T be a polynomially bounded operator on a Banach space X whose spectrum contains the uni...
AbstractWe construct continuous linear operators without non-trivial invariant subspaces on several ...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact op...
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing th...
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing th...
We simplify the negative solution to the invariant subspace problem for Banach spaces. Developing th...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
AbstractLet T be a polynomially bounded operator on a Banach space X whose spectrum contains the uni...
AbstractWe construct continuous linear operators without non-trivial invariant subspaces on several ...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...