Timeline for Counterexample to Riesz representation for Hilbert modules
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 25, 2017 at 11:28 | vote | accept | InfiniteLooper | ||
| Jan 25, 2017 at 10:38 | answer | added | Simon Henry | timeline score: 5 | |
| Jan 25, 2017 at 8:20 | comment | added | InfiniteLooper | edited. Hope it is clear now. I also found a counterexemple : Take a unital C∗ algebra A an a closed ideal I in A. The inclusion I⊂A, which is A linear, can be written as ⟨x,−⟩ only if x∈I is the unit of I. This is equivalent to the splitting A≃I⊕A/I and is not true in full generality. | |
| Jan 25, 2017 at 8:11 | history | edited | InfiniteLooper | CC BY-SA 3.0 |
statememnt more precise
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| Jan 25, 2017 at 8:03 | comment | added | Jochen Wengenroth | What do you mean by a representation of $f\in H^\ast$? For a Hilbert module the "scalar product" maps $H\times H$ into the $C^*$-algebra. | |
| Jan 24, 2017 at 16:49 | history | edited | David Handelman | CC BY-SA 3.0 |
grammar, spelling, non is not a word, punctuation
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| Jan 24, 2017 at 16:01 | history | asked | InfiniteLooper | CC BY-SA 3.0 |