Documents
Functional analysis
functional analysis is the branch of mathematics and specifically of mathematical analysis analysis concern...
Hilbert space
in mathematics a hilbert space is a real or complex vector space with a positive definite sesquilinear form that is c...
Complete space
...a metric space is compact if and only if it is complete and totally bounded a subspace of a complete space is complete if and only if it is closed set closed if x is a set and m is a comple...
Banach space
in mathematics banach spaces pronounced bah nack named after stefan banach who studied them are one of the centr...
Hahn–Banach theorem
Cauchy sequence
in mathematics a cauchy sequence named after augustin cauchy is a sequence whose elements become close as the sequenc...
Augustin Louis Cauchy
augustin louis cauchy august may was a france french mathematician he star...
David Hilbert
david hilbert january wehlau east prussia february gottingen...
Brouwer fixed point theorem
in mathematics the brouwer fixed point theorem is an important fixed point theorem that applies to finite dimensional spaces and forms the basi...
Contraction mapping
in mathematics a contraction mapping or contraction on a metric space m d is a function mathematics function...
Inner product space
...scalar product or dot product of spatial vectors see dot product in mathematics an inner product space is a vector space with additional structure an inner product also called a dot pro...
Complex analysis
complex analysis is the branch of mathematics investigating function mathematics functions of complex...
Entire function
in complex analysis an entire function is a function mathematics function that is holomorphic function holomorphic everywhere...
Binomial theorem
in mathematics the binomial theorem is an important formula giving the expansion of exponentiation powers of sum s its si...
Hermitian
a number of mathematical entities are named hermitian after the mathematician charles hermite hermitian adjoint sesquilinear form h...
