Index Index
\([\blank]_{C^{0, \alpha}([a,b])}\), Definition
\(\n\blank_{C^{0, \alpha}([a,b])}\), Definition
\(B(S)\), Example
\(B^A\), Definition
\(C^k([a,b])\), Section
\(C^{0, \alpha}([a,b])\), Definition
\(C_\bdd(X)\), Definition
\(f \maps A \to B\), Definition
\(f(A)\), Definition
\(f^{-1}(A)\), Definition
\(L^2([a,b])\), Section
algebra, Definition
Arzelà–Ascoli theorem, Theorem
Baire category theorem, Theorem
ball, Definition
Banach space, Definition
boundary, Part
bounded, Definition
Cauchy sequence, Definition
closed, Part
closure, Part
codomain, Definition
compact, Definition
complete, Definition
completion, Definition
continuous, Definition
convergence, Definition
equicontinuous, Definition
Euclidean inner product, Example
Euclidean space, Example
extension, Definition
function, Definition
functions vs. formulas, Example
image, Definition
inner product, Definition
inner product space, Definition
inner product subspace, Definition
interior, Part
inverse image, Definition
isometric, Definition
isometry, Definition
lattice, Definition
lattice operations, Paragraph
limit, Definition
Lipschitz continuous, Definition
periodic, Definition
polynomial in \(n\) variables, Paragraph
preimage, Definition
product space, Definition
relatively compact, Definition
restriction, Definition
separable, Definition
separate points, Definition
sequentially compact, Definition
Stone-Weierstrass theorem, Theorem
subcover, Definition
supremum norm, Example
trigonometric polynomial, Definition
uniform convergence, Example
uniformly continuous, Definition
Weierstrass approximation theorem, Theorem
