Established forms of electromagnetic coupling are usually conservative (in insulators) or dissipative metals and semiconductors). Here we point out the possibility nondissipative electric driving magnetization dynamics, if valence electronic states have nontrivial topology in combined space crystal momentum configuration. We provide a hybrid insulator system to demonstrate that topology-based n...

We consider the transitive linear maps on the operator algebra $B(X)$for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitivelinear map without being hypercyclic in the strong operator topology.

where 1 sp < co. This definition is far from being intrinsic. For an intrinsic definition of WrTp(Mm, N”) see [ 11. In this space, beside the standard topology induced by the norm (1. ]ll,p, we also have weak topology and weak convergence. Let fk, f E W’~p(Mm), where 1 < p < co. We say that fk converges to f in weak topology iff fk + f in Lp and the set (lIVfk[lp)k is bounded. Weak convergence ...

The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders. Furthermore, a construction of generalized ideals from preideals, and vice versa, is obtained. As a particular consequence of the results in this paper, a construction of fuzzifying t...

Discoveries of topological states and materials have reshaped our understanding physics over the past 15 years. First-principles calculations had an important role in bridging theory topology experiments by predicting realistic materials. In this Review, we offer overview first-principles methodology on quantum First, unify different concepts same band inversion scenario. We then discuss using ...

The aim of this paper is to introduce and investigate α∗-uniformity on a nonempty set X using α∗-covers of X in L-fuzzy set theory. Equivalent conditions for α∗-uniformity and basis to α∗-uniformity, respectively, are obtained. The topology generated by α∗-uniformity, called α∗-topology, is also given. Various examples of α∗-uniformity on X are given and the α∗-topology induced by them are also...

In this brief article we characterize the relatively compact subsets of A for the topology σ(A,R) (see below), by the weak compact subsets of L . The spaces R endowed with the weak topology induced by A, was recently employed to create the convex risk theory of random processes. The weak compact sets of A are important to characterize the so-called Lebesgue property of convex risk measures, to ...

Self-organising neural networks try to preserve the topology of an input space by means of their competitive learning. This capacity has been used, among others, for the representation of objects and their motion. In this work we use a kind of self-organising network, the Growing Neural Gas, to represent deformations in objects along a sequence of images. As a result of an adaptive process the ...