linear operator การใช้

• 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