the operator norm measures the "size" of certain linear operators by assigning each a real number called its operator norm. Formally, it is a norm defined...

standard basis, and one defines the corresponding induced norm or operator norm or subordinate norm on the space K m × n {\displaystyle K^{m\times n}} of...

norm). The set of Hilbert–Schmidt operators is closed in the norm topology if, and only if, H is finite-dimensional. Every Hilbert–Schmidt operator T :...

over a Banach space form a Banach algebra in respect to the standard operator norm. The theory of Banach algebras develops a very general concept of spectra...

M} is called the operator norm of L {\displaystyle L} and denoted by ‖ L ‖ . {\displaystyle \|L\|.} A bounded operator between normed spaces is continuous...

Schatten norm (or Schatten–von-Neumann norm) arises as a generalization of p-integrability similar to the trace class norm and the Hilbert–Schmidt norm. Let...

In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance...

Matrix norm, a map that assigns a length or size to a matrix Operator norm, a map that assigns a length or size to any operator in a function space Norm (abelian...

inequality for integral operators, is a bound on the L p → L q {\displaystyle L^{p}\to L^{q}} operator norm of an integral operator in terms of L r {\displaystyle...

reference to algebras of operators on a separable Hilbert space, endowed with the operator norm topology. In the case of operators on a Hilbert space, the...