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math.FA2001
Manifolds of algebraic elements in the algebra L(H) of bounded linear operators
Jose M. Isidro
Given a complex Hilbert space H, we study the differential geometry of the manifold A of normal algebraic elements in Z=L(H), the algebra of bounded linear operators on H. We repre…
math.FA2001
The manifold of finite rank projections in the algebra L(H) of bounded linear operators
J. M. Isidro, M. Mackey
Given a complex Hilbert space H, we study the differential geometry of the manifold M of all projections in V:=L(H). Using the algebraic structure of V, a torsionfree affine connec…
math.FA2000
The manifold of finite rank projections in the space L(H)
José M. Isidro
Given a complex Hilbert space H and the von Neumann algebra L(H) of all bounded linear operators on H, we study the Grassmann manifold M of all projections in L(H) that have a fixe…