By Peter Lancaster (auth.), Prof. I. Gohberg, Prof. H. Langer (eds.)

In September 1998, throughout the 'International Workshop on research and Vibrat ing structures' held in Canmore, Alberta, Canada, it used to be determined by way of a gaggle of members to honour Peter Lancaster at the celebration of his seventieth birthday with a quantity within the sequence 'Operator concept: Advances and Applications'. associates and co-workers spoke back enthusiastically to this concept and inside a short while we prepare the amount that is now provided to the reader. relating to accep tance of papers we the standard principles of the magazine 'Integral Equations and Operator Theory'. The papers are devoted to various difficulties in matrix and operator concept, specially to the parts within which Peter contributed so richly. At our request, Peter agreed to put in writing an autobiographical paper, which seems before everything of the amount. It maintains with the checklist of Peter's courses. We think that this quantity pays tribute to Peter on his striking achievements in numerous components of arithmetic. 1. Gohberg, H. Langer P ter Lancast r *1929 Operator idea: Advances and functions, Vol. a hundred thirty, 1- 7 © 2001 Birkhiiuser Verlag Basel/Switzerland My lifestyles and arithmetic Peter Lancaster i used to be born in Appleby, a small county city within the north of britain, on November 14th, 1929. I had older brothers and was once to have one more youthful sister. My relations moved round the north of britain as my father's paintings in an assurance corporation required.

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