Showing papers in "Journal of Functional Analysis in 1969"

TL;DR: The theory of Lp,λ spaces as mentioned in this paper is a generalization of the theory of a priori estimates in the Lp norm, i.e., estimates in Lipα norm.

TL;DR: In this article, the authors studied the infinite tensor product VI * of a C*-algebra b with itself, and showed how information on the C*algebra ‘$l leads to both new and known results on the different subjects mentioned in the preceding paragraph.

TL;DR: In this paper, the authors studied the operator valued distribution T ( A ) on R n associated with an n -tuple of self-adjoint operators (A ) which was discussed in "The Weyl Functional Calculus" and showed that it is not connected in R n unless some nontrivial orthogonal projection commutes with all the operators in the n-tuple ( A ).

TL;DR: In this article, the authors consider a locally compact group G with jointly continuous action G × Z → Z on a local compact space and define definitions of amenability of the action of G on various function spaces supported on Z, including CB(Z) and L∞(Z, ν) (when there is a quasi-invariant ν on Z), corresponding to the existence of a left invariant mean on these various spaces.

TL;DR: In this article, the authors extended these results to the case of continuous functions defined on a compact Hausdortf space with values in E, endowed with the usual uniform norm, under the assumption that S = I is a compact interval of the reals.

TL;DR: In this article, the authors give a general theory of renormalization and an intrinsic characterization for renormalized products; their existence in finite-dimensional situations; and a specialization to a certain quantum process underlying all free Bose-Einstein quantum fields.

TL;DR: In this article, the main properties of asymptotically abelian systems are investigated for a C∗-algebra acted upon by a group of automorphisms, and conditions which imply the existence of a unique normal invariant projection onto the fixed points of the center.

TL;DR: In this paper, the authors studied the connection between tensor algebras and harmonic analysis and showed that N is a Banach algebra and N(D) -% C(D).

TL;DR: In this paper, a positive self-adjoint elliptic differential operator A on a subset of Rn was shown to have analytic domination of X by a fractional power of 1.

TL;DR: In this article, it was shown that every Hermitian operator with central trace zero in an arbitrary finite von Neumann algebra of type I is a commutator in the algebra.