21. This means that the correspondence defines a linear operator between the Banach spaces and. 22. A common procedure for defining a bounded linear operator between two given whole domain. 23. The concept of linearity can be extended to linear operators . 24. The characteristic polynomial of a matrix or linear operator contains information about the operator's eigenvalues. 25. The sum and the composite of two bounded linear operators is again bounded and linear. 26. Note also that the operator D is an example of an unbounded linear operator , since 27. These calculi all have a derivative and / or integral that is not a linear operator . 28. In a sense, the linear operators are not continuous because the space has " holes ". 29. This is the generalization to linear operators of the row space, or coimage, of a matrix. 30. Grothendieck's work on the theory of Banach spaces and continuous linear operators introduced the approximation property.
