We show in this paper that every bijective linear isometry between the continuous section spaces of two non-square Banach bundles gives rise to a Banach bundle isomorphism. This is to support our expectation that the geometric structure of the continuous section space of a Banach bundle determines completely its bundle structures. We also describe the structure of an into isometry from a contin...

We consider the problem of recovering sparse vectors from underdetermined linear measurements via `pconstrained basis pursuit. Previous analyses of this problem based on generalized restricted isometry properties have suggested that two phenomena occur if p 6= 2. First, one may need substantially more than s log(en/s) measurements (optimal for p = 2) for uniform recovery of all s-sparse vectors...

We consider the problem of recovering sparse vectors from underdetermined linear measurements via lp-constrained basis pursuit. Previous analyses of this problem based on generalized restricted isometry properties have suggested that two phenomena occur if p 6= 2. First, one may need substantially more than s log(en/s) measurements (optimal for p = 2) for uniform recovery of all s-sparse vector...

| In the cryptanalysis of stream ciphers and pseudorandom sequences, the notions of linear, jump, and 2{adic complexity arise naturally to measure the (non)randomness of a given string. We de ne an isometry K on Fq that is the precise equivalent to Euclid’s algorithm over the reals to calculate the continued fraction expansion of a formal power series. The continued fraction expansion allows to...

A Fuchsian group is a discrete subgroup of PSL(2,R). As such it acts discontinuously on H (the upper half plane model of the hyperbolic plane) by fractional linear transformations. This action induces an action on the real line. It is well known that if an isometry of H fixes a point of the real line then the point is one of a pair, in the case that the isometry is hyperbolic or the isometry in...

By using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2VBP) withDirichlet, Neumann and Cauchy types boundary conditions. The moment at the knots isapproximated by central finite-difference method. The order of convergence of the methodand the theory is illustrated by solving tes...

In the constructive theory of linear codes, we can restrict attention to the isometry classes of indecomposable codes, as it was shown by Slepian. We describe these classes as orbits and we demonstrate how they can be enumerated using cycle index polynomials and the tools already incorporated in SYMMETRICA, a computer algebra package devoted to representation theory and combinatorics of symmetr...

We prove that every surjective isometry from the unit sphere of space K(H), all compact operators on an arbitrary complex Hilbert H, onto real Banach Y can be extended to a linear K(H) Y. This is probably first example infinite dimensional non-commutative C*-algebra containing no unitaries and satisfying Mazur-Ulam property. also C*-algebras weakly JB*-triples satisfy

We investigate the reflexivity of the isometry group and the automorphism group of some important metric linear spaces and algebras. The paper consists of the following sections: 1. Preliminaries. 2. Sequence spaces. 3. Spaces of measurable functions. 4. Hardy spaces. 5. Banach algebras of holomorphic functions. 6. Fréchet algebras of holomorphic functions. 7. Spaces of continuous functions. In...