Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

J-subspace lattices and subspace M-bases

W. Longstaff;  Oreste Panaia — 2000

Studia Mathematica

The class of J-lattices was defined in the second author’s thesis. A subspace lattice on a Banach space X which is also a J-lattice is called a J- subspace lattice, abbreviated JSL. Every atomic Boolean subspace lattice, abbreviated ABSL, is a JSL. Any commutative JSL on Hilbert space, as well as any JSL on finite-dimensional space, is an ABSL. For any JSL ℒ both LatAlg ℒ and ℒ ⊥ (on reflexive space) are JSL’s. Those families of subspaces which arise as the set of atoms of some JSL on X are characterised...

The decomposability of operators relative to two subspaces

A. Katavolos;  M. Lambrou;  W. Longstaff — 1993

Studia Mathematica

Let M and N be nonzero subspaces of a Hilbert space H satisfying M ∩ N = {0} and M ∨ N = H and let T ∈ ℬ(H). Consider the question: If T leaves each of M and N invariant, respectively, intertwines M and N, does T decompose as a sum of two operators with the same property and each of which, in addition, annihilates one of the subspaces? If the angle between M and N is positive the answer is affirmative. If the angle is zero, the answer is still affirmative for finite rank operators but there are...

Page 1

Download Results (CSV)