normal operator sentence in Hindi
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- An example of such an operator is a normal operator.
- The residual spectrum of a normal operator is empty.
- There is also an analogous spectral theorem for bounded normal operators on Hilbert spaces.
- A generalization of the spectral theorem holds for continuous normal operators in Hilbert spaces.
- Normal operators are characterized by the spectral theorem.
- The operator norm of a normal operator equals its numerical radius and spectral radius.
- This is the spectral theorem for normal operators.
- Every normal operator is subnormal by definition, but the converse is not true in general.
- Some but not all of the above generalize to normal operators on infinite-dimensional Hilbert spaces.
- It follows that the Hilbert space cannot in general be spanned by eigenvectors of a normal operator.
- An example of such an operator is a normal operator ( or some of its generalization ).
- However, as noted above, the spectral theorem also holds for normal operators on a Hilbert space.
- This makes normal operators, and normal elements of C *-algebras, more amenable to analysis.
- Put in another way, the kernel of a normal operator is the orthogonal complement of its range.
- However, for bounded normal operators, the orthogonal complement to a stable subspace may not be stable.
- For naval operations the control station can be integrated into a ships normal operator consoles and combat management systems.
- The operators a and a ^ \ dagger may be contrasted with normal operators, which commute with their adjoints.
- Thus the normal operators is a proper subfamily of quasinormal operators, which in turn are contained by the subnormal operators.
- Every hyponormal operator ( in particular, a subnormal operator, a quasinormal operator and a normal operator ) is paranormal.
- The spectral theorem provides a canonical form for symmetric, unitary and more generally normal operators on finite dimensional inner product spaces.
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