Nghĩa của từ banach bằng Tiếng Ả Rập

Banach بَنَكْ

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1. Holomorphic mappings on Banach analytic manifolds, in Func.

2. In fact it is sufficient to check this just for Banach spaces B, or even just for the single Banach space l1 of absolutely convergent series.

3. Several concepts of a derivative may be defined on a Banach space.

4. In particular, for series with values in any Banach space, absolute convergence implies convergence.

5. For technical reasons, the category Ban1 of Banach spaces and linear contractions is often equipped not with the "obvious" forgetful functor but the functor U1 : Ban1 → Set which maps a Banach space to its (closed) unit ball.

6. In every Banach algebra with multiplicative identity, the set of invertible elements forms a topological group under multiplication.

7. In this paper we present a system of a priori error bounds for the Halley method in Banach spaces.

8. Mazur made important contributions to geometrical methods in linear and nonlinear functional analysis and to the study of Banach algebras.

9. His research within the field of Functional analysis was concerned mainly with Harmonic analysis, the theory of Banach-algebras, integral representations in convex sets, and Korovkin theory.

10. On the basis of approximations by step functions the theory of Stieltjes-Schärf integrals is developed for functions of bounded variation with values in Banach algebras.

11. Given a Schauder basic sequence in a Banach lattice, we say that is Bibasic if the expansion of every vector in converges not only in norm, but also in order.

12. In mathematics, the Banach–Caccioppoli fixed-point theorem (also known as the contraction mapping theorem or Contractive mapping theorem) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces, and provides a constructive method to find those fixed points.