Add to ORKGAbstract. We introduce and study the following modified version of the Invariant Subspace Problem: whether every operator T on an infinite-dimensional Banach space has an almost invariant half-space, that is, a subspace Y of infinite dimension and infinite codimension such that Y is of finite codimension in T (Y). We solve this problem in the affirmative for a large class of operators which includes quasinilpotent weighted shift operators on `p (1 6 p <∞) or c0. 1
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
AbstractElementary arguments are used to establish equivalent conditions for an operator on a finite...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
Abstract. We introduce and study the following modified version of the Invariant Subspace Problem: w...
Abstract. Given a Banach space X and a bounded linear oper-ator T on X, a subspace Y of X is almost ...
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 X be a complex infinite dimensional Banach space. An operator L on X is called of subcri...
International audienceWe prove that if T is an operator on an infinite-dimensional Hilbert space who...
AbstractElementary arguments are used to establish equivalent conditions for an operator on a finite...
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...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
AbstractElementary arguments are used to establish equivalent conditions for an operator on a finite...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
Abstract. We introduce and study the following modified version of the Invariant Subspace Problem: w...
Abstract. Given a Banach space X and a bounded linear oper-ator T on X, a subspace Y of X is almost ...
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 X be a complex infinite dimensional Banach space. An operator L on X is called of subcri...
International audienceWe prove that if T is an operator on an infinite-dimensional Hilbert space who...
AbstractElementary arguments are used to establish equivalent conditions for an operator on a finite...
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...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
AbstractElementary arguments are used to establish equivalent conditions for an operator on a finite...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...