linear operator sentence in Hindi
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- This article considers mainly linear operators, which are the most common type.
- Some operators ( specifically, self-adjoint linear operators ) correspond to physical observables.
- Consider linear operators on a finite-dimensional vector space over a perfect field.
- Orthogonal projection onto a line,, is a linear operator on the plane.
- One may study this linear operator in the context of functional analysis.
- Let and be Banach spaces and be a continuous linear operator.
- Any linear operator defined on a finite-dimensional normed space is bounded.
- Suppose that is a collection of continuous linear operators from to.
- For example, a Fourier, Laplace transforms, and linear operator theory, that are applicable.
- Linear operators also play a great role in the infinite-dimensional case.
- Let L : V \ to \ mathbb R be a bounded linear operator.
- In technical language, integral calculus studies two related linear operators.
- Shift operators are examples of linear operators, important for their simplicity and natural occurrence.
- Linear operators are ubiquitous in the theory of quantum mechanics.
- Therefore, every such linear operator has a non-trivial invariant subspace.
- Consider an-dimensional vector space and a linear operator with eigenvalues.
- Rather, a bounded linear operator is a locally bounded function.
- Equipped with the spectral theorem for compact linear operators, one obtains the following result.
- Other such questions are compactness or weak-compactness of linear operators.
- Then the adjoint of is the continuous linear operator satisfying
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