This short paper is a written version of one part of the plenary address gi
ven at the November 1999 NOLTA symposium held at the Hilton Waikoloa Villag
e in Hawaii. I was invited by Professor Shin'ichi Oishi, a general vice-cha
irman of the symposium, to give a survey of some of my own research. I was
happy to do that-in the context of a description of what Bell Labs.' resear
ch environment was like in its math center in the 1960's, and why I feel th
at today's young researchers are often too constrained in that they are typ
ically not encouraged to try to do really interesting work. Here the emphas
is is on only the origins of input-output stability theory.