[PDF] Top 20 Characterization Theorem of Generalized Operators

... the characterization theorem for operators on white noise functionals in term of their W-transform was in- troduced by authors in [1], and give a criterion for the convergence of operators on ... See full document

... (ii) Our Theorem 2.1 extends and generalizes Theorem 2.1 of Shaini and Singh [16] in the sense that when S = id (identity) in modified three-step iteration (1.1), we have the three-step iteration introduced ... See full document

... Since also λ ν ˆ is a multiple of Lebesgue measure, we conclude [ˆ ν]= (a b)λ ν ˆ . Remark 3.6. The preceding result is in fact the reason why we need the singular structure theorem in BD, Theorem 2.12, as ... See full document

... among generalized topological spaces,(ascending, complete) generalized neighbourhood systems and strong generalized closure operators, which essentially completes the proof that the outer ... See full document

... linear operators acting on X with value on Y ...mapping theorem for (A, B). In addition, we define the generalized Kato essential spectrum and the closed range spectra of the pair (A, B) and we give ... See full document

... Fenchel-Moreau theorem for the vector ...Clarke generalized first-order derivative for locally Lipschitz vector functions, we establish a first-order characterization for monotone ...second-order ... See full document

... the Fuglede-Putnam theorem. Therefore by Lemma 10, (ker X) ⊥ and ran X reduces T ∗ and S, respectively. Hence we obtain the XT ∗ = S ∗ X. In Lemma 10, we can drop the injective condition if T is p-hyponormal ... See full document

... (3) ⇒ (1): Let µ, ρ be r-fuzzy α-separated sets such that λ = µ ∨ ρ. Then, from (3), λ ≤ µ or λ ≤ ρ. If λ ≤ µ, then ρ = λ ∧ ρ ≤ µ ∧ ρ ≤ α(µ, r) ∧ ρ = 0. Also, if λ ≤ ρ, then µ = λ ∧ µ ≤ ρ ∧ µ ≤ α(ρ, r) ∧ µ = 0. Hence, λ ... See full document

... Weyl’s theorem holds for hermitian operators [], which have been ex- tended to hyponormal operators [], algebraically hyponormal operators by [], alge- braically M-hyponormal ... See full document

... strongly generalized differentiability concept. Utilizing the Generalized Characterization Theorem, we investigate the problem of finding a nu- merical approximation of ... See full document

... following theorem gives a characterization of convex geometries in the particular case of morphological clo- sure operators (these convex geometries will be called morphological ... See full document

... mapping theorem it easily follows that the spectrum of an algebraic operator is a finite ...that generalized Weyl ’ s theorem is not generally transmitted to perturbation of operators ... See full document

... If A and B∗ are class A operators, we show that dAB is polaroid and generalized Weyl’s theorem holds for f dAB , generalized a-Weyl’s theorem holds for f dAB ∗ for every f ∈ Hσ dAB and[r] ... See full document

... Transform (FrFT) is a generalization of the ordinary Fourier transform. The ordinary Fourier transform and related techniques are of importance in various different areas like communications, signal processing and ... See full document

... The question which arises is whether the above min-max ap- proach for the minimization of deviation measures can be gen- eralized in the case of an unbounded choice set of financial (risk) positions. The answer is ... See full document

... number theorem, and in fact our proof follows the main lines of the Wiener-Ikehara proof of that theorem once the relevant properties of an appropriate zeta function have been ... See full document

... Arrow’s theorem [Arr50] (which he strengthened in 1963 [Arr12]) demonstrates that no social welfare function can “fairly” convert the preferences of voters into a society-wide preference ... See full document

... We study the existence of fixed points for multivalued mappings f : S → S, where (S,F, T) is a complete Menger PM-space with a t-norm of H-type T and S is endowed with a directed graph G = (V(G), E(G)) such that V (G) = S ... See full document

... Pietsch Domination Theorem plays a central role in the theory of absolutely summing linear operators (see [6]). In the last years, several Pietsch-type theorems have been presented in different nonlinear ... See full document

... extended Theorem 2 to the case of sharing small functions. Theorem 3 ([2]) Let f be a nonconstant entire function; let a ≡ 0 be a small function related to f ; and let k ≥ 2 be a positive ...of ... See full document