normal operator वाक्य

उदाहरण वाक्य

1. A compact normal operator ( in particular, a normal operator on a finite-dimensional linear space ) is unitarily diagonalizable.
2. A compact normal operator ( in particular, a normal operator on a finite-dimensional linear space ) is unitarily diagonalizable.
3. This implies the usual spectral theorem : every normal operator on a finite-dimensional space is diagonalizable by a unitary operator.
4. The concept of normal matrices can be extended to normal operators on infinite dimensional Hilbert spaces and to normal elements in C *-algebras.
5. Eigenvectors of a normal operator corresponding to different eigenvalues are orthogonal, and a normal operator stabilizes the orthogonal complement of each of its eigenspaces.
6. Eigenvectors of a normal operator corresponding to different eigenvalues are orthogonal, and a normal operator stabilizes the orthogonal complement of each of its eigenspaces.
7. The technical master may also be required to step in if the normal operator has encountered a problem, and does not know how to correct it.
8. With stronger assumptions, when " T " is a normal operator acting on a Hilbert space, the domain of the functional calculus can be broadened.
9. A normal operator has a representation A = B + i C where B, C are self-adjoint and commute, i . e . BC = CB.
10. In the latter case, the Gelfand Naimark representation theorem is one avenue in the development of spectral theory for normal operators, and generalizes the notion of diagonalizing a normal matrix.