«weakly continuous»
۱۵٬۸۸۵ نتیجهA New Type of Weak Continuity
In this paper, we introduce a new class of functions called weakly sgαcontinuous functions and investigate some of their fundamental properties.
Separate weak * - continuity of the triple product in dual real JB * - triples
We prove that, ifE is a real JB*-triple having a predualE∗ , then E∗ is the unique predual of E and the triple product on E is separately σ(E,E∗)−continuous. Mathematics Subject Classification (1991):17C65, 46K70, 46L05, 46L10, 46L70
Maximal Elements of Weakly Continuous Relations*
A weaker than usual continuity property is defined for binary relations. Relations that have this property, along with certain transitivity properties, are shown to have maximal elements on compact sets. The results cover “interval orders,” the kind of relations that often charac
Weakly Continuously Urysohn Spaces
We study weakly continuously Urysohn spaces, which were introduced in [Z]. We show that every weakly continuously Urysohn w∆-space has a base of countable order, that separable weakly continuously Urysohn spaces are submetrizable, hence continuously Urysohn, that monontonically n
The existence of utility functions for weakly continuous preferences on a Banach space
In this note we prove that the weak topology of a Banach space has the Continuous Representability Property which means that every (weakly) continuous total preorder defined on a Banach space can be represented by a weakly continuous utility function. This shows that weak topolog
Weak* Continuous States on Banach Algebras
We prove that if a unital Banach algebra A is the dual of a Banach space A♯, then the set of weak* continuous states is weak* dense in the set of all states on A. Further, weak* continuous states linearly span A♯.
On the representation of weakly continuous stochastic processes
• A novel approach to obtaining series representations in the stochastic mean for weakly, and therefore mean square, continuous stochastic processes 1s presented. Two distinct orthogonal series representations are derived for the entire class of weakly continuous stochastic proce
Weak⁎-continuity of invariant means on spaces of matrix coefficients
With every locally compact group $G$, one can associate several interesting bi-invariant subspaces $X(G)$ of the weakly almost periodic functions $\mathrm{WAP}(G)$ on each which captures parts representation theory $G$. Under certain natural assumptions, such a space carries uniq
Equivalent conditions for weak continuity of nonlinear filters
This paper studies weak continuity of nonlinear filters. It is well-known that Borel measurability transition probabilities for problems with incomplete state observations preserved when the original discrete-time process replaced whose states are belief probabilities. also known
Theory of Weak Continuous Measurements in a Strongly Driven Quantum Bit. Typeset Using Revt E X 1
Continuous spectroscopic measurements of a strongly driven superconduct-ing qubit by means of a high-quality tank circuit (a linear detector) are under study. Output functions of the detector, namely, a spectrum of voltage fluctuations and an impedance, are expressed in terms of