§ 1. Introduction and notation. The cyclic vectors of the backward unila shift on H2 have
been exhaustively studied by Douglas, Shapiro, and Shie in [1], One of the many striking …

Introduction. One-parameter semigroups of unitary operators on a Hilbert space are characterized
by Stone's theorem [4]; the corresponding characteriza tion for isometries was given …

Let T be a bounded linear transformation on Hilbert space and let d (T) denote the weakly
closed algebra with identity generated by T, that is, the closure of the polynomials in T in the …

The question of when a weighted shift is subnormal was treated by JG Stampfii in a paper
called" which weighted shifts are subnormal"[1]. In that paper, an explicit matricial construction …

… Wallen Larry Wallen learned the beauty of mathematics from Everett Pitcher at Lehigh,
from Witold Hurewicz at MIT (which generously gave him a doctorate), and mainly from Paul …

We introduce for convex domains of constant width a measure of asymmetry and show that
the most asymmetric domains are Reuleaux triangles. Measures of (central) symmetry, or, as …

1. Two groups of men were exposed to di-isopropyl fluorophosphate vapor for a CT of 165
and 244 respectively. Ocular signs and symptoms caused by direct conjunctival absorption …

Volterra operator J (Jf (x)= fof (t) dt) by the equation J= Jl Stdt or, what comes to the same
thing, i\J (I—iKJ)~ 1= foe {KtStdt. These formulas, together with the uniqueness of the Fourier …

Let $\mu $ be a Borel measure on the circle, $\hat\mu $ its Fourier transform. It is shown that
a certain thinness condition on the positive part of the support of $\hat\mu $ forces a power …

Wirtinger's inequality (given below) is a useful tool in the analytic treatment of plane convex
bodies (ovals). The venerable isoperimetric inequality, for example, is an easy consequence …