Inverse elements in extensions of Banach algebras
Inverse function theorems for Banach spaces in a topos
Inverse images of function sectors in the weighted Bergman space.
Inverse Limit Spaces Satisfying a Poincaré Inequality
We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [12]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of examples for which our conditions are satisfied. Included are known examples of PI spaces, such as Laakso spaces,...
Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample
Inverse limits of compact convex sets and direct limits of spaces of continuous affine functions
Inverse problems in spaces of measures
The ill-posed problem of solving linear equations in the space of vector-valued finite Radon measures with Hilbert space data is considered. Approximate solutions are obtained by minimizing the Tikhonov functional with a total variation penalty. The well-posedness of this regularization method and further regularization properties are mentioned. Furthermore, a flexible numerical minimization algorithm is proposed which converges subsequentially in the weak* sense and with rate 𝒪(n-1)...
Inverses and regularity of disjointness preserving operators [Book]
Inversion in a class of lattice-ordered algebras
Inversion in some algebras of singular integral operators.
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Invertibility in tensor products of Q-algebras
We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.
Invertibility of operators in spaces of real interpolation.
Invertibility of the commutator of an element in a C*-algebra and its Moore-Penrose inverse
We study the subset in a unital C*-algebra composed of elements a such that is invertible, where denotes the Moore-Penrose inverse of a. A distinguished subset of this set is also investigated. Furthermore we study sequences of elements belonging to the aforementioned subsets.
Invertibility preserving linear mappings into M₂(ℂ)
We study discontinuous invertibility preserving linear mappings from a Banach algebra into the algebra of n × n matrices and give an explicit representation of such a mapping when n = 2.
Invertibility-preserving maps of -algebras with real rank zero.
Invertible composition operators on Banach function spaces
Invertible elements in a convolution algebra of holomorphic functions.
Investigating the ANR-property of metric spaces
Invitation à la théorie des algèbres stellaires