Espacios de Hilbert

Hilbert spaces are a fundamental concept in mathematics and physics, specifically in the field of functional analysis. They are complete vector spaces equipped with an inner product, allowing for the measurement of angles and distances between vectors. In simpler terms, think of a Hilbert space as a setting where you can represent and work with infinite-dimensional objects, like functions or quantum states. This framework is crucial for quantum mechanics, as it provides the mathematical foundation for describing and analyzing physical systems at the quantum level, helping to understand phenomena like superposition and entanglement.