Transactions of the AMS. Year 1967. Volume 128. Number 01.


Distal functions on groups
A. W. Knapp
1-40


The cotangent complex of a morphism
S. Lichtenbaum; M. Schlessinger
41-70


Some new Hilbert algebras
R. Keown
71-87


Continuity of linear operators commuting with continuous linear operators
B. E. Johnson
88-102


Darboux transformations
A. M. Bruckner; J. B. Bruckner
103-111


Semisimple maximal quotient rings
Francis L. Sandomierski
112-120


On the alternating projections theorem and bivariate stationary stochastic processes
Habib Salehi
121-134

Abstract: In this paper we shall first use the theorem of von Neumann on alternating projections to obtain an algorithm for finding the projection of an element x in a Hilbert space $\mathcal{H}$ onto the subspace spanned by $\mathcal{H}$-valued orthogonally scattered measures ${\xi _1}$ and ${\xi _2}$. We then specialize this algorithm to the case that ${\xi _1}$ and ${\xi _2}$ are the canonical measures of the components of a bivariate stationary stochastic process (SP), and thereby get an algorithm for finding the best linear predictor in the time domain.


On some improperly posed problems for quasilinear equations of mixed type
L. E. Payne; D. Sather
135-141


On homogeneous spaces and reductive subalgebras of simple Lie algebras
A. Sagle; D. J. Winter
142-147


On homeomorphisms of certain infinite dimensional spaces
Raymond Y. T. Wong
148-154


Diffeomorphisms of $1$-connected manifolds
William Browder
155-163


Operators commuting with Boolean algebras of projections of infinite multiplicity
L. Tzafriri
164-175


On a class of nodal noncommutative Jordan algebras
Jerry I. Goldman
176-183