Abstract
In this paper we investigate the invariant and hyperinvariant subspace lattices of some operators. We give a lattice-theoretic description of the lattice of hyperinvariant subspaces of an operator in terms of its lattice of invariant subspaces. We also study the structure of these lattices for operators in certain equivalence classes of some equivalence relations.
Highlights
In this paper H will denote a complex separable Hilbert space and B(H) will denote the Banach algebra of bounded linear operators
The subspace lattice of all invariant, reducing and hyperinvariant subspaces of T is denoted by Lat(T ), Re d (T ) and HyperLat(T ), respectively
We denote by W *(T ) the weakly closed von Neumann algebra generated by T
Summary
Email address: To cite this article: Bernard Mutuku Nzimbi. A Note on Some Equivalences of Operators and Topology of Invariant Subspaces. Received: January 8, 2018; Accepted: February 7, 2018; Published: December 28, 2018
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
