By Peter Lancaster (auth.), Prof. I. Gohberg, Prof. H. Langer (eds.)
In September 1998, through 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 contributors to honour Peter Lancaster at the social gathering of his seventieth birthday with a quantity within the sequence 'Operator thought: Advances and Applications'. neighbors and co-workers replied enthusiastically to this concept and inside of a short while we prepare the quantity that's now offered 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, particularly to the parts during which Peter contributed so richly. At our request, Peter agreed to write down an autobiographical paper, which seems to be initially of the quantity. It maintains with the record of Peter's courses. We think that this quantity pays tribute to Peter on his extraordinary achievements in numerous parts of arithmetic. 1. Gohberg, H. Langer P ter Lancast r *1929 Operator idea: Advances and purposes, Vol. one hundred thirty, 1- 7 © 2001 Birkhiiuser Verlag Basel/Switzerland My existence 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 kin moved round the north of britain as my father's paintings in an coverage corporation required.
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