## Functions in L p loc Β½0; 1Γ where 1ppp1 can be considered as inputs to linear systems. However, hysteresis operators of Preisach type have only been defined on much smaller space of regulated (or Baire) functions. In this paper, we re-define Play operators so that they are well defined for real
A functional realization of the Lebesgue extension
β Scribed by E. V. Kolesnikov; A. G. Kusraev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1991
- Tongue
- English
- Weight
- 412 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An approximation theorem for an upper semicontinuous mapping F from an arbitrary (not necessarily ANR) metric space X is proved, under certain control on degree of nonconvexity of values F (x), x β X. The proof uses a generalization of the lemma on the Lebesgue number of a covering for the noncompac
In this work we study the problem of orthogonality with respect to a sum of measures or functionals. First we consider the case where one of the functionals is arbitrary and quasidefinite and the other one is the Lebesgue normalized functional. Next we study the sum of two positive measures. The fir