Teorema de Riesz

The Riesz Representation Theorem states that in a certain mathematical setting called a Hilbert space, every continuous linear function (which assigns a number to each point in the space in a consistent way) can be represented as an inner product with a specific, fixed element of that space. Essentially, it guarantees a one-to-one correspondence between these functions and elements in the space, making abstract functional analysis more concrete by linking functionals directly to vectors. This theorem is fundamental for understanding how linear measurements relate to elements within these spaces.