Memoirs of the American Mathematical Society 1999; 77 pp; softcover Volume: 138 ISBN10: 082180961X ISBN13: 9780821809617 List Price: US$45 Individual Members: US$27 Institutional Members: US$36 Order Code: MEMO/138/660
 Two methods of constructing infinitely many isomorphically distinct \(\mathcal L_p\)spaces have been published. In this volume, the author shows that these constructions yield very different spaces and in the process develop methods for dealing with these spaces from the isomorphic viewpoint. Readership Graduate students and research mathematicians working in functional analysis. Table of Contents  Introduction
 The constructions of \(\mathcal L_p\)spaces
 Isomorphic properties of \((p,2)\)sums and the spaces \(R^\alpha_p\)
 The isomorphic classification of \(R^\alpha_p\), \(\alpha < \omega_1\)
 Isomorphisms from \(X_p\otimes X_p\) into \((p,2)\)sums
 Selection of bases in \(X_p\otimes X_p\)
 \(X_p\otimes X_p\)preserving operators on \(X_p\otimes X_p\)
 Isomorphisms of \(X_p\otimes X_p\) onto complemented subspaces of \((p,2)\)sums
 \(X_p\otimes X_p\) is not in the scale \(R^\alpha_p\), \(\alpha < \omega_1\)
 Final remarks and open problems
 Bibliography
