Comments for Noncommutative Analysis
https://noncommutativeanalysis.wordpress.com
Mon, 14 Aug 2017 14:50:12 +0000hourly1http://wordpress.com/Comment on The dominated convergence theorem for the Riemann and the improper Riemann integral (Measure theory is a must – part II) by Orr Shalit
https://noncommutativeanalysis.wordpress.com/2014/05/11/the-dominated-convergence-theorem-for-the-riemann-and-the-improper-riemann-integral-measure-theory-is-a-must-part-ii/comment-page-1/#comment-2110
Mon, 14 Aug 2017 14:50:12 +0000http://noncommutativeanalysis.wordpress.com/?p=2633#comment-2110Thanks Joseph,
That was a mistake in the exercise, thanks (now fixed. That part of the exercise was not important for the rest of the proof). I *do* want simple sets to be unions of closed sets, otherwise the proof won’t work – having the finite intersection property will not imply non-empty intersection.
Orr
]]>Comment on The dominated convergence theorem for the Riemann and the improper Riemann integral (Measure theory is a must – part II) by joseph
https://noncommutativeanalysis.wordpress.com/2014/05/11/the-dominated-convergence-theorem-for-the-riemann-and-the-improper-riemann-integral-measure-theory-is-a-must-part-ii/comment-page-1/#comment-2109
Mon, 14 Aug 2017 13:40:14 +0000http://noncommutativeanalysis.wordpress.com/?p=2633#comment-2109Hi. Thanks for the post. I’m a little confused by the definition of simple sets. It seems to me that the property described in Exercise 1 is not true, since the complement of a simple set would be a disjoint union of open (in [a,b]) intervals. Could it be that a simple set is meant to be a set which is a disjoint union of finitely many intervals (open or closed)? Thanks again!
]]>Comment on Another one bites the dust (actually many of them) by Solvig Kadison-Singer Problem - Skeptic Society
https://noncommutativeanalysis.wordpress.com/2013/06/20/another-one-bites-the-dust-actually-many-of-them/comment-page-1/#comment-2063
Tue, 20 Jun 2017 11:43:29 +0000http://noncommutativeanalysis.wordpress.com/?p=2500#comment-2063[…] Piece by piece, the researchers developed a new technique for working with so-called “interlacing polynomials” to capture this underlying structure, and finally, on June 17, 2013, Marcus sent an email to Weaver, who had been his undergraduate advisor at Washington University 10 years earlier. “I hope you remember me,” Marcus wrote. “The reason I am writing is because we … think we have solved your conjecture (the one that you showed was equivalent to Kadison-Singer).” Within days, news of the team’s achievement had spread across the blogosphere. […]
]]>Comment on Introduction to von Neumann algebras, Lecture 4 (group von Neumann algebras) by Introduction to von Neumann algebras, Lecture 6 (tensor products of Hilbert spaces and vN algebras; the GNS representation, the hyperfinite II_1 factor) | Noncommutative Analysis
https://noncommutativeanalysis.wordpress.com/2017/04/26/introduction-to-von-neumann-algebras-lecture-4-group-von-neumann-algebras/comment-page-1/#comment-2032
Thu, 01 Jun 2017 19:14:22 +0000http://noncommutativeanalysis.wordpress.com/?p=7952#comment-2032[…] hyperfinite factor is hyperfinite, by construction. By Exercise B in Lecture 4, is also hyperfinite (and also a factor). The reason that is called THE hyperfinite factor, is […]
]]>Comment on Introduction to von Neumann algebras, Lecture 3 (some more generalities, projection constructions, commutative von Neumann algebras) by Introduction to von Neumann algebras, Lecture 6 (tensor products of Hilbert spaces and vN algebras; the GNS representation, the hyperfinite II_1 factor) | Noncommutative Analysis
https://noncommutativeanalysis.wordpress.com/2017/04/04/introduction-to-von-neumann-algebras-lecture-3-some-more-generalities-projection-constructions-abelian-von-neumann-algebras/comment-page-1/#comment-2031
Thu, 01 Jun 2017 19:14:19 +0000http://noncommutativeanalysis.wordpress.com/?p=7212#comment-2031[…] . By Theorem 1 in Lecture 3, every is isometric, so is isometric. We can therefore push to […]
]]>Comment on Introduction to von Neumann algebras, Lecture 1 (Introduction to the course, and a crash course in operator algebras, the spectral theorem) by Introduction to von Neumann algebras, Lecture 6 (tensor products of Hilbert spaces and vN algebras; the GNS representation, the hyperfinite II_1 factor) | Noncommutative Analysis
https://noncommutativeanalysis.wordpress.com/2017/03/20/introduction-to-von-neumann-algebras-lecture-1-introduction-to-the-course-and-a-crash-course-in-operator-algebras-the-spectral-theorem/comment-page-1/#comment-2030
Thu, 01 Jun 2017 19:14:16 +0000http://noncommutativeanalysis.wordpress.com/?p=4943#comment-2030[…] it is well defined). This will suffice because every bounded operator is the sum of four unitaries (Lecture 1). Now, if is unitary, […]
]]>Comment on Introduction to von Neumann algebras, Lecture 3 (some more generalities, projection constructions, commutative von Neumann algebras) by Introduction to von Neumann algebras, Lecture 5 (comparison of projections and classification into types of von Neumann algebras) | Noncommutative Analysis
https://noncommutativeanalysis.wordpress.com/2017/04/04/introduction-to-von-neumann-algebras-lecture-3-some-more-generalities-projection-constructions-abelian-von-neumann-algebras/comment-page-1/#comment-2009
Mon, 08 May 2017 19:29:22 +0000http://noncommutativeanalysis.wordpress.com/?p=7212#comment-2009[…] that in Lecture 3 (Definition 2), we defined the range projection of an operator to be equal to the orthogonal […]
]]>Comment on Our new baby book by The preface to “A First Course in Functional Analysis” | Noncommutative Analysis
https://noncommutativeanalysis.wordpress.com/2017/04/21/our-new-baby-book/comment-page-1/#comment-2002
Wed, 03 May 2017 15:36:10 +0000http://noncommutativeanalysis.wordpress.com/?p=7945#comment-2002[…] am not yet done being excited about my new book, A First Course in Functional Analysis. I will use my blog to advertise my book, one last time. […]
]]>Comment on Our new baby book by Orr Shalit
https://noncommutativeanalysis.wordpress.com/2017/04/21/our-new-baby-book/comment-page-1/#comment-1997
Mon, 24 Apr 2017 17:43:23 +0000http://noncommutativeanalysis.wordpress.com/?p=7945#comment-1997Toda Raba!
]]>Comment on Our new baby book by Guy Salomon
https://noncommutativeanalysis.wordpress.com/2017/04/21/our-new-baby-book/comment-page-1/#comment-1996
Mon, 24 Apr 2017 17:32:07 +0000http://noncommutativeanalysis.wordpress.com/?p=7945#comment-1996Mazal Tov!!!
]]>