About Mutiple Bounded Linear Operator And Functional

Functional analysis and multiple linear algebra theory have in math, physics, chemistry and other natural sciences and engineering meter intraoperative important applications. Operator theory has become differential equations, function theory, probability theory, continuum mechanics, quantum physics, computing areas of mathematics, control theory, optimization theory and other essential methods and tools.In this paper, the integrated use of multiple theories and methods of functional analysis and linear algebra theory, the establishment of multiple bounded linear operators on normed linear space theory, multiple linear operator, the largest multi-linear operator, symmetric multiprocessing Linear Operators son, Bao multiple linear separable sub-concepts operator. Multiple linear bounded operator discussed multiple bounded linear operator, the largest multi-bounded linear operator is proved multiple linear operator Existence and uniqueness theorems a multiple linear operator is sufficient and necessary condition of Theorem largest multiple linear operator. proved that if Y is Banach space, B(X1×X2×…×Xm,Y) is also a Banach space theorem.Multiple linear finite-dimensional functionals introduced multiple linear functional definition. Prove B(X1×X2×…×Xm, C) is omorphic Cn1×n2×…×nm Theorem.The fourth chapter discuss the situation of X1=X2=…=Xm=lp,X1=X2=…=Xm=Lp[0,1].The fifth chapter of the Multiple Linear separable security operators re-wired introduced strong M-dimensional space can be divided into tensor operator definition. Some of the properties of the double tensor product, theorem to M back on. Prove theorems separable relationship between the maximal independent set.Paul can be divided into multiple linear operator introduces strong separable cable operator is defined for m-dimensional tensor space. Proved separable strong relationship with the operator of a single shot. Proved separable between the maximal independent set relations theorem.