Let X be a real reflexive Banach space and X∗ its dual space. Let T : X ⊃ D(T ) → 2X be an operator of class AG(S+), where G ⊂ X is open. An invariance of domain result for T will be discussed. This result extends a similar result of Park for single-valued operators of type (S+). The Skrypnik’s topological degree theory is used, utilizing approximating schemes of operators of class AG(S+), alon...

We study the s-numbers of elementary operators acting on C∗algebras. The main results are the following: If τ is any tensor norm andA,B ∈ B(H) are such that the sequences s(A), s(B) of their singular numbers belong to a stable Calkin space i then the sequence of approximation numbers ofA⊗τB belongs to i. If A is a C∗-algebra, i is a stable Calkin space, s is an s-number function, and ai, bi ∈ A...

In this paper, we prove that into isometries and disjointness preserving linear maps from C0(X) into C0(Y ) are essentially weighted composition operators Tf = h · f ◦ φ for some continuous map φ and some continuous scalar-valued function h.

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Renormalization factors for ∆S = 1 four-quark operators in the effective weak Hamiltonian are perturbatively evaluated in domain-wall QCD. The one-loop corrections of ∆S = 1 four-quark operators consist of two types of diagrams: one is gluon exchange between quark lines and the other is penguin diagrams containing quark loops. Combining both contributions, our results allow a lattice calculatio...

in this paper, two new hamilton operators are defined and the algebra of dual split quaternions isdeveloped using these operators. it is shown that finite screw motions in minkowski 3-space can be expressedby dual-number ( 3×3 ) matrices in dual lorentzian space. moreover, by means of hamilton operators, screwmotion is obtained in 3-dimensional minkowski space 3r1

We study Wilson-’t Hooft loop operators in a class of N = 2 superconformal field theories recently introduced by Gaiotto. In the case that the gauge group is a product of SU(2) groups, we classify all possible loop operators in terms of their electric and magnetic charges subject to the Dirac quantization condition. We then show that this precisely matches Dehn’s classification of homotopy clas...

In this paper, some properties of pseudo-differential operators, SG-elliptic partial differential equations with polynomial coefficients and localization operators on space S ν (R), are studied by using fractional Fourier transform. AMS Mathematics Subject Classification (2010): 35S05, 46F12, 47G30.

Let j/ be a unital C*-algebra. We describe K-skeleton factorizations of all invertible operators on a Hubert C*-module %^ , in particular on «^ = I2 , with the Fredholm index as an invariant. We then outline the isomorphisms K0(s/) =i TC2k([p]0) 3 n2k(GLp(s/)) and Kx(s*) & ä2*+i([Pjo) = n2k+\(GLpr(s?)) for k > 0 , where [p]o denotes the class of all compact perturbations of a projection p in th...