Add to ORKGLet B(X) be the space of all bounded linear operators on a Banach space X and let LatA be the lattice of invariant subspaces of the operator A is an element of B(X). We characterize some maps Phi: B(X) -> B(X) with one of the following preserving properties: Lat(Phi(A) + Phi(B)) = Lat(A + B), or Lat(Phi(A)Phi(B)) = Lat(AB), or Lat(Phi(A)Phi(B) + Phi(B)Phi(A)) = Lat(AB + BA), or Lat(Phi(A)Phi(B)Phi(A)) = Lat(ABA), or Lat(vertical bar Phi(A), Phi(B)vertical bar) = Lat(vertical bar A, B vertical bar). (C) 2008 Elsevier Inc. All rights reserved
Abstract. For a positive operator Q on a Banach lattice, one defines 〈Q] = {T ≥ 0: TQ ≤ QT} and [Q ...
AbstractLet T be a polynomially bounded operator on a Banach space X whose spectrum contains the uni...
An example is given of a bounded linear operator on a Hilbert space whose lattice of invariant subsp...
AbstractTwo linear operators A and B on a finite dimensional complex vector space have the same latt...
83 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In Chapter 3 we use the result...
We describe all linear self-mappings of the space of bounded linear operators in an infinite dimensi...
Abstract. If S, T, R, and K are non-zero positive operators on a Banach lattice such that S ↔ T ↔ R ...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
Let § be a complex separable Hilbert space and let B(9)) be the algebra of all bounded linear operat...
Abstract. For an operator S on a Banach space X, let Lat (S,X) be the collection of all its invarian...
Let H be a complex Hilbert space and B(H) the Banach algebra of all bounded linear operators on H. I...
Linear preserver problems concern the characterization of linear operators on matrix spaces that lea...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
In this paper, we prove the existence of a particular diagonalization for normal bounded operators d...
Abstract. For a positive operator Q on a Banach lattice, one defines 〈Q] = {T ≥ 0: TQ ≤ QT} and [Q ...
AbstractLet T be a polynomially bounded operator on a Banach space X whose spectrum contains the uni...
An example is given of a bounded linear operator on a Hilbert space whose lattice of invariant subsp...
AbstractTwo linear operators A and B on a finite dimensional complex vector space have the same latt...
83 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.In Chapter 3 we use the result...
We describe all linear self-mappings of the space of bounded linear operators in an infinite dimensi...
Abstract. If S, T, R, and K are non-zero positive operators on a Banach lattice such that S ↔ T ↔ R ...
summary:We discuss the invariant subspace problem of polynomially bounded operators on a Banach spac...
Let § be a complex separable Hilbert space and let B(9)) be the algebra of all bounded linear operat...
Abstract. For an operator S on a Banach space X, let Lat (S,X) be the collection of all its invarian...
Let H be a complex Hilbert space and B(H) the Banach algebra of all bounded linear operators on H. I...
Linear preserver problems concern the characterization of linear operators on matrix spaces that lea...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
Banach space operators acting on some fixed space X are considered. If two such operators A and B ve...
In this paper, we prove the existence of a particular diagonalization for normal bounded operators d...
Abstract. For a positive operator Q on a Banach lattice, one defines 〈Q] = {T ≥ 0: TQ ≤ QT} and [Q ...
AbstractLet T be a polynomially bounded operator on a Banach space X whose spectrum contains the uni...
An example is given of a bounded linear operator on a Hilbert space whose lattice of invariant subsp...