Partial Inner Product Spaces Theory and Applications

From the reviews:

“Partial Inner Product (PIP) spaces generalize and synthesize a lot of spaces appearing in functional analysis, such as rigged Hilbert spaces, scales of Hilbert or Banach spaces, etc. … the book will be of  interest for researchers interested in function spaces as well as for those  interested in applications in theoretical physics and signal processing.” (Stefan Cobzaş, Zentralblatt MATH, Vol. 1195, 2010)

“The topic of this book is so-called PIP (partial inner product) spaces, which are vector spaces with a symmetric relation on pairs of elements … . Overall the book provides a unique opportunity for researchers working in the field of analysis to take a new perspective on more or less well known families of function spaces or operators, and the common functional analytic features common to all these families, analyzed in a very systematic way. … many readers will enjoy studying the proposed concepts.” (Hans G. Feichtinger, Mathematical Reviews, Issue 2011 i)