Direct Integrals of Locally Measurable Operators.
Direct Integrals of Selfdual Cones and Standard Forms of Neumann Algebras.
Direct limit of matricially Riesz normed spaces.
Direct limit of matricially Riesz normed spaces
In this paper, the -Riesz norm for ordered -bimodules is introduced and characterized in terms of order theoretic and geometric concepts. Using this notion, -Riesz normed bimodules are introduced and characterized as the inductive limits of matricially Riesz normed spaces.
Direct limit of matrix order unit spaces
The notion of ℱ-approximate order unit norm for ordered ℱ-bimodules is introduced and characterized in terms of order-theoretic and geometric concepts. Using this notion, we characterize the inductive limit of matrix order unit spaces.
Direct summands of systems of continuous linear transformations [Book]
Direct sums of Cartan factors
Directedness in Ordered Normed Spaces and Operators.
Directional derivates and almost everywhere differentiability of biconvex and concave-convex operators.
Directional moduli of rotundity and smoothness
We study various notions of directional moduli of rotundity and when such moduli of rotundity of power type imply the underlying space is superreflexive. Duality with directional moduli of smoothness and some applications are also discussed.
Directional uniform rotundity in spaces of essentially bounded functions.
Directionally Euclidean structures of Banach spaces
We study Banach spaces with directionally asymptotically controlled ellipsoid-approximations of the unit ball in finite-dimensional sections. Here these ellipsoids are the unique minimum volume ellipsoids, which contain the unit ball of the corresponding finite-dimensional subspace. The directional control here means that we evaluate the ellipsoids by means of a given functional of the dual space. The term 'asymptotical' refers to the fact that we take 'lim sup' over finite-dimensional subspaces. ...
Directions d'uniforme convexité dans un espace normé
Direkte Integrale von Hilbertalgebren.
Dirichlet series induced by the Riemann zeta-function
The Riemann zeta-function ζ(s) extends to an outer function in ergodic Hardy spaces on , the infinite-dimensional torus indexed by primes p. This enables us to investigate collectively certain properties of Dirichlet series of the form for in . Among other things, using the Haar measure on for measuring the asymptotic behavior of ζ(s) in the critical strip, we shall prove, in a weak sense, the mean-value theorem for ζ(s), equivalent to the Lindelöf hypothesis.
Discontinuity of the product in multiplier algebras.
Entire functions operate in complete locally A-convex algebras but not continuously. Actually squaring is not always continuous. The counterexample we give is multiplier algebra.
Discontinuous homomorphisms from C(K)
Discontinuous invariant functio- nals and traces
Discrepancy and integration in function spaces with dominating mixed smoothness [Book]
Discrete group actions and the minimal primal ideal space.