Zobrazeno 1 - 10
of 22
pro vyhledávání: '"M. J. Crabb"'
Publikováno v:
Semigroup Forum. 81:71-84
We investigate minimal, compact, square-closed subsets of the unit circle by identifying them with subsets of [0,1] and with sets of infinite words on two symbols; in particular, such sets arising from substitution maps. We consider problems on finit
Autor:
M. J. Crabb, W. D. Munn
Publikováno v:
Mathematical Proceedings of the Royal Irish Academy. :31-41
Autor:
W. D. Munn, M J Crabb
Publikováno v:
Mathematical Proceedings of the Royal Irish Academy. 107:31-41
Publikováno v:
Journal of the Australian Mathematical Society. 81:97-104
It is shown that the complex semigroup algebra of a free monoid of rank at least two is *-primitive, where * denotes the involution on the algebra induced by word-reversal on the monoid.
Publikováno v:
Studia Mathematica. 146:83-97
Publikováno v:
Glasgow Mathematical Journal. 43:29-38
We study three extremal Banach algebras: (a) generated by two hermitian unitaries; (b) generated by an element of norm 1 all of whose odd positive powers are hermitian; (c) generated by an element of norm 1 all of whose even positive powers are hermi
Autor:
W. D. Munn, M. J. Crabb
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 128:1023-1031
The monoids considered are the free monoid Mx and the free monoid-with-involution MIx on a nonempty set X. In each case, relative to a simply-defined involution, an explicit construction is given for a separating family of continuous star matrix repr
Publikováno v:
Semigroup Forum. 54:221-229
Autor:
W. D. Munn, M. J. Crabb
Publikováno v:
Semigroup Forum. 55:215-220
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 126:939-945
Let denote a subring of the complex field that contains 1 and is closed under complex conjugation. It is shown that, with respect to the involution induced by word-reversal, the algebra over of a free monoid admits a trace and a separating family of