Spectral Theory
The l^2 space, or Hilbert space of square-summable sequences, is the set of all infinite sequences of complex or real numbers where the sum of the squares of the elements is finite. This space is crucial in functional analysis and serves as a foundational structure in the study of Hilbert-Schmidt operators, providing a context for analyzing the properties and behavior of these operators acting on square-summable functions.
congrats on reading the definition of l^2 space. now let's actually learn it.