Banach Algebra
A Banach algebra is an Algebra 
over a Field 
endowed with a Norm 
such that is aBanach Space under the norm and multiplication is continuous in the sense that if 
then
. Continuity of multiplication is the most important property.
is frequently taken to be the ComplexNumbers in order to assure that the Spectrum fully characterizes anOperator (i.e., the spectral theorems for normal or compact normal operators do not, in general, hold in theSpectrum over the Real Numbers).
- Submanifold
- Submatrix
- Subnormal
- Subordinate Norm
- Subscript
- Subsequence
- Subset
- Subspace
- Substitution Group
- Substitution Map
- Subtend
- Subtraction
- Succeeds
- Successes
- Sufficient
- Suitable Number
- Sum
- Summand
- Summatory Function
- Sum-Product Number
- Sum Rule
- Sup
- Characteristic (Partial Differential Equation)
- Characteristic Polynomial
- Characteristic (Real Number)