25 citations · 64 across the 10 of their papers we have counts for
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math.FA2012★ 14 cited
-isometric and -isometric operator tuples on normed spaces
Philipp H. W. Hoffmann, Michael Mackey
We generalize the notion of -isometric operator tuples on Hilbert spaces in a natural way to normed spaces. This is done by defining a tuple analogue of -isometric operat…
math.FA2011★ 21 cited
On the second parameter of an -isometry
Philipp Hoffmann, Michael Mackey, Mícheál Ó Searcóid
A bounded linear operator on a Banach space is called an -isometry if it satisfies the equation \sum_{k=0}^{m}(-1)^{k} {m \choose k}\|T^{k}x\|^{p} = 0x…
math.FA2001★ 1 cited
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…