## Abstract Let 1 ≤ __p__ < ∞ and let __T__ be an ergodic measure‐preserving transformation of the finite measure space (__X__, __μ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ ϵ __L^p^__ (__X__, __μ__), equation image When __X__ = 𝕊^__n__^ (the unit spher
An Application of the Parrott's Theorem to the Geometry of the Unit Sphere
✍ Scribed by Aleksej Turnšek
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 93 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We show that Hua's fundamental theorem of the geometry of rectangular matrices can be proved without the bijectivity assumption when the underlying field is the field of real numbers. We also give a counterexample showing that this generalization is not possible in the complex case. 2002 Elsevier
Shape space was proposed over 20 years ago as a conceptual formalism in which to represent antibody/antigen binding. It has since played a key role in computational immunology. Antigens and antibodies are considered to be points in an abstract &&shape space'', where coordinates of points in this spa
In this paper the application of the theorems of structural variation to finite element problems is presented and a simplified procedure for constant strain triangular elements is developed. Applications for these techniques are discussed.