The Cone Operator in Singular Homology
ثبت نشده
چکیده
We introduce the cone operator, as a tool for the homotopy and excision axioms. Linear chains As a first step, we study the following situation. Suppose Z is a convex subspace of R. Given any n + 1 points v0, v1, . . . , vn in Z (not necessarily linearly independent), we have the linear map λ = [v0, v1, . . . , vn]: ∆ n −−→ Z (1) from the standard n-simplex ∆ ⊂ R with vertices ei (for 0 ≤ i ≤ n), defined by λ(ei) = vi for each i. Its image in Z is thus
منابع مشابه
On inverse problem for singular Sturm-Liouville operator with discontinuity conditions
In this study, properties of spectral characteristic are investigated for singular Sturm-Liouville operators in the case where an eigen parameter not only appears in the differential equation but is also linearly contained in the jump conditions. Also Weyl function for considering operator has been defined and the theorems which related to uniqueness of solution of inverse proble...
متن کاملPositive Cone in $p$-Operator Projective Tensor Product of Fig`a-Talamanca-Herz Algebras
In this paper we define an order structure on the $p$-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between $A_p(Gtimes H)$ and $A_p(G)widehat{otimes}^p A_p(H)$ is an order isomorphism for amenable groups $G$ and $H$.
متن کاملEigenfunction expansion in the singular case for q-Sturm-Liouville operators
In this work, we prove the existence of a spectral function for singular q-Sturm-Liouville operator. Further, we establish a Parseval equality and expansion formula in eigenfunctions by terms of the spectral function.
متن کاملEgoroff Theorem for Operator-Valued Measures in Locally Convex Cones
In this paper, we define the almost uniform convergence and the almost everywhere convergence for cone-valued functions with respect to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone and (Q, W) is a locally ...
متن کاملGreen’s Formulas for Cone Differential Operators
Green’s formulas for elliptic cone differential operators are established. This is done by an accurate description of the maximal domain of an elliptic cone differential operator and its formal adjoint, thereby utilizing the concept of a discrete asymptotic type. From this description, the singular coefficients replacing the boundary traces in classical Green’s formulas are deduced. CONTENTS
متن کامل