Inverse limits need not exist in the category of compact spaces and Feller kernels: a counterexample
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)...
Inversion in a class of lattice-ordered algebras
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.
Invertible composition operators on Banach function spaces
Investigating the ANR-property of metric spaces
Irregular amalgams.
Isometric classification of norms in rearrangement-invariant function spaces
Suppose that a real nonatomic function space on is equipped with two rearrangement-invariant norms and . We study the question whether or not the fact that is isometric to implies that for all in . We show that in strictly monotone Orlicz and Lorentz spaces this is equivalent to asking whether or not the norms are defined by equal Orlicz functions, respĿorentz weights. We show that the above implication holds true in most rearrangement-invariant spaces, but we also identify a class...
Isometric embedding into spaces of continuous functions
We prove that some Banach spaces X have the property that every Banach space that can be isometrically embedded in X can be isometrically and linearly embedded in X. We do not know if this is a general property of Banach spaces. As a consequence we characterize for which ordinal numbers α, β there exists an isometric embedding between and .
Isometric embeddings of a class of separable metric spaces into Banach spaces
Let be a bounded countable metric space and a constant, such that , for any pairwise distinct points of . For such metric spaces we prove that they can be isometrically embedded into any Banach space containing an isomorphic copy of .
Isometric stability property of Banach spaces.
Isometries between spaces of weighted holomorphic functions
We study isometries between spaces of weighted holomorphic functions. We show that such isometries have a canonical form determined by a group of homeomorphisms of a distinguished subset of the range and domain. A number of invariants for these isometries are determined. For specific families of weights we classify the form isometries can take.
Isometries of a function space.
Isometries of Musielak-Orlicz spaces II
A characterization of isometries of complex Musielak-Orlicz spaces is given. If is not a Hilbert space and is a surjective isometry, then there exist a regular set isomorphism τ from (T,Σ,μ) onto itself and a measurable function w such that U(f) = w ·(f ∘ τ) for all . Isometries of real Nakano spaces, a particular case of Musielak-Orlicz spaces, are also studied.
Isometries of Orlicz Spaces of Vector Valued Functions.
Isometries of some F-algebras of holomorphic functions on the upper half plane
Linear isometries of N p(D) onto N p(D) are described, where N p(D), p > 1, is the set of all holomorphic functions f on the upper half plane D = {z ∈ ℂ: Im z > 0} such that supy>0 ∫ℝ lnp (1 + |(x + iy)|) dx < +∞. Our result is an improvement of the results by D.A. Efimov.
Isometries on products of composition and integral operators on Bloch type space.
Isométries positives et propriétés ergodiques de quelques espaces de Banach
Isomorphic classification and lifting theorems for spaces of differentiable functions with Lipschitz conditions
Isomorphic type of the space of smooth functions determined by a finite family of differential operators.