invariant subspace problem造句

例句与造句

1. In the 1990s, Enflo developed a " constructive " approach to the invariant subspace problem on Hilbert spaces.
2. For Banach spaces, the first example of an operator without an invariant subspace was constructed by Enflo . ( For Hilbert spaces, the invariant subspace problem remains open .)
3. The invariant subspace problem concerns the case where " V " is a separable Hilbert space over the complex numbers, of dimension > 1, and " T " is a bounded operator.
4. In the field of mathematics known as functional analysis, the "'invariant subspace problem "'is a partially unresolved problem asking whether every bounded operator on a complex Banach space sends some non-trivial compact square.
5. This was resolved affirmatively, for a more general class of polynomially compact operators, by Allen R . Bernstein and Abraham Robinson in 1966 ( see Non-standard analysis # Invariant subspace problem for a summary of the proof ).
6. It's difficult to find invariant subspace problem in a sentence. 用invariant subspace problem造句挺难的
7. Enflo's method of minimal vector is described in greater detail in a survey article on the invariant subspace problem by Enflo and Victor Lomonosov, which appears in the " Handbook of the Geometry of Banach Spaces " ( 2001 ).
8. Bombieri is also known for his pro bono service on behalf of the mathematics profession, e . g . for serving on external review boards and for peer-reviewing extraordinarily complicated manuscripts ( like the paper of Per Enflo on the invariant subspace problem ).