Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 23rd 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexto the functional analysis crew of the $n$Lab: where should [[operator spectrum]] point to? Do we have any suitable entry?

   to the functional analysis crew of the $n$Lab: where should operator spectrum point to? Do we have any suitable entry?

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeNov 23rd 2010
   • PermaLink
   Author: zskoda
   Format: MarkdownItexWell you may try to decide between [[spectral theory]] which is more general, and [[spectral theorem]] which is more specific. In future we could have separate entries for versions like spectral theorem for bounded normal operators, for families etc.

   Well you may try to decide between spectral theory which is more general, and spectral theorem which is more specific. In future we could have separate entries for versions like spectral theorem for bounded normal operators, for families etc.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 23rd 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexSo you are saying I should put redirects? I was hoping sombody would feel inspired to create at least a stub for [[operator spectrum]]

   So you are saying I should put redirects? I was hoping sombody would feel inspired to create at least a stub for operator spectrum

4. • CommentRowNumber4.
   • CommentAuthorzskoda
   • CommentTimeNov 23rd 2010
   • (edited Nov 23rd 2010)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexNo, I am saying that the term "operator spectrum" is a bit sidetrack form the organization we have started here. There is a classical subject of [[spectral theorem]]s for various kinds of operators which belong to spectral theorem entry, just as on wikipedia. On the other hand, [[spectral theory]] is wider subject and most of the things are about families of operators, algebras of operators, spectra of Banach algebras, of C*-algebras and so on. It would be superfluous to mess up with orthogonal entry with vague associative name like "operator spectrum" (what is it ? a spectrum of an operator ? a spectrum of an operator algebra ? any spectrum appearing in operator theory ?). At the least I could agree with a name like [[spectrum of an operator]], but writing an entry for it would most likely boil down to writing [[spectral theorem]]. So, until we have so much material to go into a reorganization I would vote for a redirect of your choice.

   No, I am saying that the term “operator spectrum” is a bit sidetrack form the organization we have started here. There is a classical subject of spectral theorems for various kinds of operators which belong to spectral theorem entry, just as on wikipedia. On the other hand, spectral theory is wider subject and most of the things are about families of operators, algebras of operators, spectra of Banach algebras, of C*-algebras and so on. It would be superfluous to mess up with orthogonal entry with vague associative name like “operator spectrum” (what is it ? a spectrum of an operator ? a spectrum of an operator algebra ? any spectrum appearing in operator theory ?). At the least I could agree with a name like spectrum of an operator, but writing an entry for it would most likely boil down to writing spectral theorem. So, until we have so much material to go into a reorganization I would vote for a redirect of your choice.

5. • CommentRowNumber5.
   • CommentAuthorzskoda
   • CommentTimeNov 23rd 2010
   • (edited Nov 23rd 2010)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexBy the way there is a recent entry [[zoranskoda:spectral theorem for bounded selfadjoint operators]]. I am taking it back a bit. [[spectrum of an operator]] should exist as a separate entry (separate from spectral theorem), though it is not easy to write it. In any case operator spectrum is not a good term.

   By the way there is a recent entry spectral theorem for bounded selfadjoint operators (zoranskoda). I am taking it back a bit. spectrum of an operator should exist as a separate entry (separate from spectral theorem), though it is not easy to write it. In any case operator spectrum is not a good term.

6. • CommentRowNumber6.
   • CommentAuthorzskoda
   • CommentTimeNov 23rd 2010
   • PermaLink
   Author: zskoda
   Format: MarkdownItexOK, there is a new entry [[spectrum of an operator]] with the redirect (though I am not real happy with the redirect) [[operator spectrum]].

   OK, there is a new entry spectrum of an operator with the redirect (though I am not real happy with the redirect) operator spectrum.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeNov 23rd 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItex> OK, there is a new entry Thanks!!

   OK, there is a new entry

   Thanks!!