These lectures in functional analysis cover several aspects of Banach spaces, a conceptualization of complete normed linear spaces developed by Stefan Banach in 1932, and include a number of topics which had never before been treated in expository form. They were presented as a part of the University of Texas Mathematics Department Seminars in Analysis series in 19771979.
These lectures in functional analysis cover several aspects of Banach spaces, a conceptualization of complete normed linear spaces developed by Stefan Banach in 1932, and include a number of topics which had never before been treated in expository form. They were presented as a part of the University of Texas Mathematics Department Seminars in Analysis series in 1977–1979
H. Elton Lacey (1937–2013) was a professor of mathematics at Texas A&M University.
- Preface
- Integration in Banach Space (Hui-Hsiung Kuo)
- Lectures on Matrix Transformations of lP Spaces (Grahame Bennett)
- Geometry of Finite Dimensional Banach Spaces and Operator Ideals (Aleksander Pelczynski)
- Factorization, Tensor Products, and Bilinear Forms in Banach Space Theory (John E. Gilbert and Thomas J. Leih)
- Characterization of Bauer Simplices and Some Other Classes of Choquet Simplices by Their Representing
- Matrices (Y. Sternfeld)
- The Modulus of Convexity of Lorentz and Orlicz Sequence Spaces (Z. Altshuler)
- Applications of Ramsey Theorems to Banach Space Theory (E. Odell)
- Banach Lattices and Local Unconditional Structure (S. J. Bernau and H. E. Lacey)
- A Unified Approach to the Principle of Local Reflexivity (S. J. Bernau)
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