In this study, we present invariant subspaces (subideals) for a class of operators (positive operators) related to M-weakly and L-weakly compact operators. Principally, these invariant subspaces can be conceivable for all operators that commutes with any M-weakly or L-weakly compact operator. © 2013 Academic Publications, Ltd
We show that for positive operator B : E → E on Banach lattices, if there exists a positive operator...
We call a bounded linear operator acting between Banach spaces \textit{weakly compactly generated} (...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
The invariant subspace problem asks if every bounded linear operator on a Banach space has a nontriv...
We present some compactness properties of L-weakly and M-weakly compact operators on a Banach lattic...
Let T be an L-weakly compact operator defined on a Banach lattice E without order continuous norm. W...
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...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
AbstractThere are, by now, many results which guarantee that positive operators on Banach lattices h...
AbstractIt is shown that every positive strictly singular operator T on a Banach lattice satisfying ...
In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact op...
Abstract. If S, T, R, and K are non-zero positive operators on a Banach lattice such that S ↔ T ↔ R ...
A general question is what can the invariant subspaces of a compact operator look like. To obtain in...
Abstract. For a positive operator Q on a Banach lattice, one defines 〈Q] = {T ≥ 0: TQ ≤ QT} and [Q ...
We show that for positive operator B : E → E on Banach lattices, if there exists a positive operator...
We call a bounded linear operator acting between Banach spaces \textit{weakly compactly generated} (...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
The invariant subspace problem asks if every bounded linear operator on a Banach space has a nontriv...
We present some compactness properties of L-weakly and M-weakly compact operators on a Banach lattic...
Let T be an L-weakly compact operator defined on a Banach lattice E without order continuous norm. W...
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...
The notion of an invariant subspace is fundamental to the subject of operator theory. Given an opera...
AbstractThere are, by now, many results which guarantee that positive operators on Banach lattices h...
AbstractIt is shown that every positive strictly singular operator T on a Banach lattice satisfying ...
In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact op...
Abstract. If S, T, R, and K are non-zero positive operators on a Banach lattice such that S ↔ T ↔ R ...
A general question is what can the invariant subspaces of a compact operator look like. To obtain in...
Abstract. For a positive operator Q on a Banach lattice, one defines 〈Q] = {T ≥ 0: TQ ≤ QT} and [Q ...
We show that for positive operator B : E → E on Banach lattices, if there exists a positive operator...
We call a bounded linear operator acting between Banach spaces \textit{weakly compactly generated} (...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
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