Operator then we call t a linear functional on v de nition 47 let v be a normed space over f we denote bvf v recall that bvf is the the space of bounded operators for v to f we can v the dual space of v corollary 48 corollary to theorem 45 for any normed space v we have that v is a banach space in the case of p space where p6 1we can now determine exactly what the . Linear functional analysis linear algebra and some functional analysis a1 metric normed vector and euclidean spaces theory of real matrices will be discussed in the more general framework of linear operators between hilbert spaces linear operators sometimes between infinite di mensional spaces will be intensively used throughout the book . Functional analysis and linear operator theory first edition by carl l devito author 50 out of 5 stars 1 rating isbn 13 978 0201119411 isbn 10 0201119412 why is isbn important isbn this bar code number lets you verify that youre getting exactly the right version or edition of a book the 13 digit and 10 digit formats both work scan an isbn with your phone use the amazon app to . At wias methods of functional analysis and operator theory play an important role in research on pdes and evolution equations in particular in the analysis of multi scale hybrid and rate independent models they are extremely important for the mathematical analysis of semiconductor models functional analytical and operator theoretical methods come to bear in existence proofs of solutions