representation theorem उदाहरण वाक्य
उदाहरण वाक्य
- If is a Hilbert space, then by the Riesz representation theorem, all matrix coefficients have the form
- For example, the Riesz representation theorem was independently established by Maurice Fr�chet and Frigyes Riesz in 1907.
- Additionally, " [ I ] n the general case, von Neumann proved the following basic representation theorem.
- Another corollary is the Riesz representation theorem for states on the continuous functions on a metrizable compact Hausdorff space.
- This construction and representation theorem is a special case of the more general result for modal algebras and modal frames.
- If B is a Hilbert space, then, by the Riesz representation theorem, any such f has the form
- The Riesz representation theorem states that every continuous linear functional on is of the form for a uniquely defined vector in.
- Well known results like the representation theorem for Boolean algebras and Stone duality fall under the umbrella of classical algebraic logic.
- This line of research leads to various " representation theorems ", often collected under the label of Stone duality.
- The idea is to first establish the continuous functional calculus then pass to measurable functions via the Riesz-Markov representation theorem.