open mapping meaning in Hindi

Examples

1. The open mapping theorem points to the sharp difference between holomorphy and real-differentiability.
2. The first mathematical monograph on the subject of open mapping theorem, closed graph theorem, and Hahn Banach theorem.
3. In functional analysis, the open mapping theorem states that every surjective continuous linear operator between Banach spaces is an open map.
4. Further, by the open mapping theorem, if there is a bounded linear operator from the Banach space onto the Banach space, then is reflexive.
5. *PM : proof of open mapping theorem, id = 8537 new !-- WP guess : proof of open mapping theorem-- Status:
6. *PM : proof of open mapping theorem, id = 8537 new !-- WP guess : proof of open mapping theorem-- Status:
7. A necessary ( but not sufficient ) condition for extending " F " # to distributions is that " F " be an open mapping.
8. Several important tools of functional analysis which are based on the Baire category theorem remain true in Fr�chet spaces; examples are the closed graph theorem and the open mapping theorem.
9. Alternatively, the maximum modulus principle can be viewed as a special case of the open mapping theorem, which states that a nonconstant holomorphic function maps open sets to open sets.
10. It delivers an open mapping platform and an open NGO community complete with Creative Commons licensed Web 2.0 training courses and a Chinese software guide to the best tools and best practices for nonprofits.