Transactions of the AMS. Year 1967. Volume 128. Number 03.


Convergence in measure and related results in finite rings of operators
A. R. Padmanabhan
359-378


Measures on product spaces
E. O. Elliott
379-388

Abstract: The theory of regular conditional probability is generalized by replacing a probability measure by a (perhaps non-$\sigma $-finite) outer measure and a resulting measure is obtained on the product space. A Fubini-like theorem is obtained for the integrable functions of this measure and a condition is given for this measure to impart the topological properties of being inner regular and almost Lindelöf to the product space when the component spaces also have these topological properties. Thus some theorems for the Morse-Bledsoe product measure [1] are generalized by methods very similar to those used in their paper on product measures [1].


A study of the proximal relation in coset transformation groups
Harvey B. Keynes
389-402


An existence analysis for nonlinear equations in Hilbert space
John Locker
403-413


On Serre duality and envelopes of holomorphy
Henry B. Laufer
414-436


Nonlinear approximation. II. Curvature in Minkowski geometry and local uniqueness
John R. Rice
437-459


On the integral representation of positive linear functionals
A. E. Nussbaum
460-473


Prime associator-dependent rings with idempotent
Nicholas J. Sterling
474-481


Connectivity, divisibility, and torsion
Lewis C. Robertson
482-505


Generic splitting fields of composition algebras
J. C. Ferrar
506-514


Dual spaces of a vector lattice and its cut-completion
J. J. Masterson
515-522


A criterion for rings of analytic functions
Ian Richards
523-530


Two theorems on hyperhypersimple sets
Robert W. Robinson
531-538


On fixed point properties of plane continua
Harold Bell
539-548