●Introduction
Chapter 0.Preliminary Results and Background
a.General notation
b.An introduction to tensor products.The appromation property.Nuclear operators
c.Local reflevity
Chapter 1.Absolutely Summing Operators and Basic Applications
a.Absolutely summing operators
b.Applications to Banach spaces
c.An introduction to duality theory.Integral operators
Notes and references
Chapter 2.Factorization through a Hilbert Space
a.Operators factoring through a Hilbert space
b.A duality theorem
Notes and references
Chapter 3.Type and Cotype.Kwapien's Theorem
a.Type and cotype.Definitions
b.Kwapieh's theorem
c.Supplementary results
d.Type and cotype and the geometry of Banach spaces
Notes and references
Chapter 4.The "Abstract" Version of Grothendieck's Theorem
a.The factorization theorem
b.An application to harmonic analysis
Notes and references
Chapter 8.Banach Lattices
a.The Banach lattice version of G.T.
b.Uitraproducts.Factorization through an Lp-space
c.Local unconditional structure. The Gordon-Lewis property
d.Examples of Banach spaces without lu.st.
e.Finite-dimensional spaces with extreme l.u.st.constants
f.G.T.spaces with unconditional basis
g.Infinite-dimensional Kasin decomitions
Notes and references
Chapter 9.C*-Algebras
a.The noncomtative version of G.T.
b.Applications
Notes and references
Chapter 10.Counterexamples to Grothendieck's Conjecture
a.Outline of the construction
b.Extensions of a Banach space
c.The construction
d.Particular cases of the conjectures
e.Some open problems
Notes and references
References

《線性算子的分解和Banach空間的幾何（影印版）》綜述了Banach空間理論取得的相當大的進展，這是Grothendieck的奠基性論文《拓撲張量積的度量理論概述》的結果。
《線性算子的分解和Banach空間的幾何（影印版）》作者考慮的中心問題是Banach空間X和y具有性質：每個從X到y的有界算子都具有Hilbert空間分解，特別是當這些算子定義在Banach格、C*-代數或圓盤代數以及H∞-上時。作者回顧了Grothendieck論文後提出的六個問題——這些問題現在都已經解決了（除了Grothendieck常數的確切值），這其中包含了這些問題解決過程中的各種結果。在後一章，作者構造了幾個Banach空間，使得張量積和射影張量積重合，這給了Grothendieck第六問題一個否定的解決方案。
盡管《線性算子的分解和Banach空間的幾何（影印版）》的讀者對像是從等