25 citations · 64 across the 10 of their papers we have counts for
10 papers
Revisiting products and powers of and -isometries
Michael Mackey
We review known results concerning powers and products of -isometries with a view to providing elementary proofs based on properties of polynomials. We consider also the sit…
Counting Sets with Surnatural Numbers
Peter Lynch, Michael Mackey
How many odd numbers are there? How many even numbers? From Galileo to Cantor, the suggestion was that there are the same number of odd, even and natural numbers, because all three…
Parity and Partition of the Rational Numbers
Peter Lynch, Michael Mackey
We define an extension of parity from the integers to the rational numbers. Three parity classes are found -- even, odd and `none'. Using the 2-adic valuation, we partition the rat…
The Bergmann-Shilov boundary of a bounded symmetric domain
Michael Mackey, Pauline Mellon
We show that there are many sets in the boundary of a bounded symmetric domain that determine the values and norm of holomorphic functions on the domain having continuous extension…
Composition operators on weighted spaces of holomorphic functions on triples
Michael Mackey, Pablo Sevilla-Peris, José A. Vallejo
We characterise continuity of composition operators on weighted spaces of holomorphic functions , where is the open unit ball of a Banach space which is homog…
Exhaustion of an interval by iterated Renyi parking
Michael Mackey, Wayne G. Sullivan
We study a variant of the Rényi parking problem in which car length is repeatedly halved and determine the rate at which the remaining space decays.