Functional analysis

• What Are the Analytic Applications of the Stone–Čech Compactification?
  The Stone–Čech compactification turns bounded continuous functions on X into continuous functions on a compact space, aiding analysis and functional analysis.
• What Is the Adjoint of an Integral Operator on $L^p$?
  For an integral operator on Lp, the adjoint reverses the kernel variables; the dual space and any complex conjugation depend on p and convention.