Contents Preface to the Third Edition, vii Preface to the Second Edition, ix Preface to the First Edition, xi Preliminaries, 1 Part 1: Preliminaries, 1 Part 2: Algebraic Structures, 17 Part I---Basic Linear Algebra, 33 1 Vector Spaces, 35 Vector Spa
This book is designed to introduce the reader to the theory of semisimple Lie algebras over an algebraically closed field of characteristic 0, with emphasis on representations. A good knowledge of linear algebra (including eigenvalues, bilinear form
We introduce the concept of frame of multipliers in Hilbert modules over pro-C∗-algebras and show that many properties of frames in Hilbert C∗-modules are valid for frames of multipliers in Hilbert modules over pro-C∗-algebras.
In this paper the tensor products of Hilbert modules over locally C-algebras are de ned and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert C-modules are also valid in the context of H
Lie group Lie algebras and representations an elementary introduction By Brian C.Hall.pdf. 此书从开始即从矩阵切入，从代数而非几何角度引入矩阵李群的概念。并通过定义运算的方式建立exponential mapping，并就此引入李代数。这种方式比起传统的通过“左不变向量场(Left-invariant vector field)“的方式定义李代数更容易为人所接受，也更容易揭示李代数的意义。最后，也有专门的
We present some fixed point results in Banach algebras based on the so called degree of nondensifiabilityφd. It is shown that φdis an alternative method to measures of noncompactnessto obtain fixed point results. As an application of the usefulness
