Showing papers in "Journal of Functional Analysis in 1970"

TL;DR: In this paper, the authors defined a structure on the closed left ideals of an arbitrary C∗-algebra which was analogous to the structure topology on the maximal ideals which exists for the abelian case.

TL;DR: The authors generalize Umegaki's definition of an expectation on the algebra of all bounded operators on a Hilbert space, and classify certain classes of expectations subject to a covariance condition with respect to a unitary representation of a given locally compact group.

TL;DR: In this article, the authors studied the behavior of semigroups of nonlinear contractions on closed convex subsets of a Hilbert space H. The first results in this direction were obtained by Neuberger [25] and oharu [26] dealt mainly with the representation of such semigroup by means of exponential formulas.

TL;DR: In this paper, the Coulomb potential is treated as a potential multiplier and the standard theory applied to a differential operator can determine the unitary equivalence class of the integral part of the operator.

TL;DR: In this paper, the commutation relation eTXe−T = eadTX, with X ϵ ∂π(G) and T a skew-Hermitian element of U(h)C, is established as an operator identity on the space of differentiable vectors for π, under the hypothesis that adG(g) is nilpotent.

TL;DR: In this article, the Leray-Schauder invariance of domain theorem for the class of mappings T = I + C, with C completely continuous, with I the identity and C compact, was shown.

TL;DR: In this article, the central decomposition and ergodic decomposition are associated with an Abelian von Neumann algebra B in the commutant π(U )′ of the image of U in the representation canonically associated with ϱ.

TL;DR: In this paper, it was shown that equicontinuity of the spectrum of a topological tensor product algebra is not always a necessary condition for the existence of a local neighborhood.

TL;DR: In this article, it was shown that a study of the intertwining operators relating two unitarily equivalent members of the principal series of irreducible unitary representations of the covering group leads naturally to global realizations of all the discrete series.

TL;DR: In this article, it was shown that every square-integrable representation of a Hilbert algebra is a direct sum of irreducible squareintegrability representations of the algebra.

TL;DR: In this paper, a densel+defined closed linear operator from X to Y and B from Y to 2 is defined, where B denotes the conjugate of an operator E. If the range R(A) of A is closed in Y and has finite codimension, then (BA) = A’B’, where E denotes conjugacy.