Monograph:
Noncommutative Dynamics and E-semigroups
Published in the series Springer Monographs in Mathematics....
Download a sample chapter as a
pdf file.
R. Srinivasan has pointed out an error in the proof of Lemma 13.6.5 on
page 408. It is not hard to repair;
here is his fix.
Textbooks:
A Short Course on Spectral Theory
An introduction to spectral theory and modern analysis, based on my
lectures for the Berkeley course Mathematics 206.
Chapter 1: Spectral Theory and Banach Algebras
Chapter 2: Operators on Hilbert Space
Chapter 3: Asymptotics: Compact Perturbations and Fredholm Theory
Chapter 4: Methods and Applications
Download a more detailed table of
contents in either dvi format
or pdf format.
Springer Graduate Texts in Mathematics
volume 209, published 6 November, 2001.
I welcome feedback from the users of his text.
Download the errata list in either dvi
format or pdf format.
An Invitation to C*-algebras
Basic theory of C*-algebras, their representations, and
multiplicity theory, including
a self-contained chapter on
analytic Borel structures.
Springer Graduate Texts in Mathematics
volume 39, reprinted 1998.
Download the errata list in pdf format.
Lectures in streaming video:
In order to view these lectures properly, you need a fast (cable or DSL) internet connection.
Lecture 1:
Interactions in noncommutative dynamics
Lecture 2:
Curvature and Dirac operator in multivariable operator theory
Research papers:
The most recent papers are at the top of the list, with a link to the
location of the preprint on the arXiv.
The older papers are posted
in dvi and/or pdf format.
pdf files can be viewed or printed using Adobe's
free Acrobat Reader.
I am no longer posting the TeX source files. If (for some reason) you are interested in
seeing the sources, send me an email.
Detailed references to all my published papers, along with Math Reviews and
related information, can be accessed by following the
Bibserver
link on my departmental page.
As you move down the list, you will find papers
that have already been published.
Many of the titles of published papers carry a link to the
pdf file produced by the journal where it
appeared, denoted "journal.pdf". Clicking on that might
get you an electronic reprint of the article, if your library
is a subscriber.
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- Helson and subdiagonal operator algebras
(Posted 21 January, 2011)
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arXiv
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- Dilation theory yesterday and today
(Posted 28 February, 2009)
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arXiv
-
- The noncommutative Choquet boundary III:
Operator systems in matrix algebras
(Posted 25 October, 2008)
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arXiv
-
- The noncommutative Choquet boundary II: Hyperrigidity
(Posted 15 October, 2008)
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arXiv
-
- Maximal vectors in Hilbert space and quantum entanglement
(Updated 4 May, 2008)
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arXiv
-
- Quantum channels that preserve entanglement
(Updated 4 May, 2008)
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arXiv
-
- The probability of entanglement
(Updated 4 May, 2008)
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arXiv
-
journal.pdf
-
- Lifting endomorphisms to automorphisms (with Dennis Courtney)
(Posted 3 March, 2007)
-
abstract
pdf
-
- The noncommutative Choquet boundary
(Posted 11 January, 2007)
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abstract
pdf
-
- Asymptotic Lifts of Positive linear maps (with Erling Stormer)
(Posted 14 November, 2006)
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abstract
pdf
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- The Asymptotic Lift of a Completely Positive map
(Updated 10 July, 2006)
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abstract
pdf
-
- Diagonals of normal operators with finite spectrum
(Posted 15 June, 2006)
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abstract
pdf
-
- On the existence of E_0-semigroups
(Posted 8 May, 2006)
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abstract
pdf
-
- Diagonals of trace-class operators (with Richard Kadison)
(Updated 3 October, 2005)
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abstract
pdf
-
- Quotients of Standard Hilbert modules
(Revised 5 November, 2005)
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abstract
pdf
-
- The free cover of a row contraction
(Updated 27 April, 2004)
-
abstract
dvi
pdf
journal.pdf
-
- p-summable commutators in dimension d
(Posted 10 August, 2003)
-
abstract
dvi
pdf
-
- The Universal A-dynamical System
(Posted 6 August, 2003)
-
abstract
dvi
pdf
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- Asymptotic Stability I: Completely Positive Maps
(Updated 11 June, 2003)
-
abstract
dvi
pdf
-
- Four Lectures on Noncommutative Dynamics
(updated 1 April, 2003)
-
abstract
dvi
pdf
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- Generators of Noncommutative Dynamics
(posted 16 January, 2002)
-
abstract
dvi
pdf
-
- The structure of Spin Systems
(Joint with Geoff Price: updated 9 April, 2003)
-
abstract
dvi
journal.pdf
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- Infinite tensor products of completely positive semigroups
(Joint with Geoff Price: posted 25 March, 2001)
-
abstract
dvi
pdf
j
ournal.pdf
-
- The Dirac operator of a commuting d-tuple
(Updated 6 June, 2001)
-
abstract
dvi
pdf
journal.pdf
-
- The domain algebra of a CP semigroup
(Posted 24 May, 2000)
-
abstract
dvi
pdf
journal.pdf
-
- The heat flow of the CCR algebra
(Posted 12 March, 2000)
-
abstract
dvi
pdf
-
- Interactions in noncommutative dynamics
(Updated 4 Feb, 2000)
-
abstract
dvi
pdf
j
ournal.pdf
-
- The curvature invariant of a Hilbert module
over C[z_1,...,z_d] (Updated 26 Aug 99)
-
abstract
dvi
pdf
journal.pdf
Published summary in PNAS (USA)
pdf.
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- Subalgebras of C*-algebras III: multivariable
operator theory (Revised 18 May 97)
-
abstract
dvi
pdf
-
- Pure E_0-semigroups and absorbing states
-
abstract
journal.pdf
-
- The index of quantum dynamical semigroups
-
abstract
journal.pdf
-
- On the index and dilations of completely positive semigroups
-
abstract
dvi
pdf
Lecture notes and snippets
-
- Lecture: Maximal vectors in Hilbert space and quantum entanglement
(Updated 20 August, 2008)
-
pdf
-
- Notes on continuous tensor products
(Posted 7 February, 2006)
-
pdf
-
- Several Problems in Operator Theory
(Posted 18 June, 2003)
-
abstract
dvi
pdf
-
- Notes on the unique extension property
(Posted 4 May, 2003)
-
abstract
dvi
pdf
-
- The Canonical Anticommutation Relations
(Posted 25 May 2001)
-
abstract
dvi
pdf
-
- Does Quantum Field Theory Exist?
(Posted 7 Feb 2000)
-
abstract
dvi
pdf
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- Notes on measure and integration in locally compact spaces
(Updated and corrected 2 Sept 99)
-
abstract
dvi
pdf
-
- Eigenvalue lists of noncommutative
probability distributions
(Posted 10 Sept. 1999)
-
abstract
dvi
pdf
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- For E_0-semigroup zealots only
(Posted 10 Sept. 1999)
-
abstract
dvi
pdf
Some not-so-new papers
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- Minimal E_0-semigroups.
(Updated 7 June, 2001)
-
abstract
dvi
pdf
-
- Dynamical invariants for noncommutative flows.
(Updated 7 June, 2001)
-
abstract
dvi
pdf
-
- Path spaces, continuous tensor products,
and E_0-semigroups.
(Updated 7 June, 2001)
-
abstract
dvi
pdf
-
- E_0-semigroups and quantum field theory.
(Updated 7 June, 2001)
-
abstract
dvi
pdf
-
- C*-algebras and Numerical linear algebra.
(Updated 7 June, 2001)
-
abstract
dvi
pdf
journal.pdf
-
- C*-algebras and Numerical linear algebra II.
(Updated 7 June, 2001)
-
abstract
dvi
pdf
-
- The role of C*-algebras in infinite dimensional numerical
linear algebra.
(Updated 7 June, 2001)
-
abstract
dvi
pdf
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- Discretized CCR algebras.
(Posted 9 June, 2001)
-
abstract
dvi
pdf
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- Non-commutative spheres and numerical quantum mechanics.
(Updated 7 June, 2001)
-
abstract
dvi
pdf