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<titleInfo><title>Uniqueness of form extensions and domination of semigroups</title></titleInfo>


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<name type="personal">
  <namePart type="given">Daniel</namePart>
  <namePart type="family">Lenz</namePart>
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  <namePart type="given">Marcel</namePart>
  <namePart type="family">Schmidt</namePart>
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  <namePart type="given">Melchior</namePart>
  <namePart type="family">Wirth</namePart>
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<abstract lang="eng">In this article, we study uniqueness of form extensions in a rather general setting. The method is based on the theory of ordered Hilbert spaces and the concept of domination of semigroups. Our main abstract result transfers uniqueness of form extension of a dominating form to that of a dominated form. This result can be applied to a multitude of examples including various magnetic Schrödinger forms on graphs and on manifolds.</abstract>

<originInfo><publisher>Elsevier</publisher><dateIssued encoding="w3cdtf">2021</dateIssued>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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<subject><topic>Analysis</topic>
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<relatedItem type="host"><titleInfo><title>Journal of Functional Analysis</title></titleInfo>
  <identifier type="issn">0022-1236</identifier>
  <identifier type="eIssn">1096-0783</identifier><identifier type="doi">10.1016/j.jfa.2020.108848</identifier>
<part><detail type="volume"><number>280</number></detail><detail type="issue"><number>6</number></detail>
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<chicago>Lenz, Daniel, Marcel Schmidt, and Melchior Wirth. “Uniqueness of Form Extensions and Domination of Semigroups.” &lt;i&gt;Journal of Functional Analysis&lt;/i&gt;. Elsevier, 2021. &lt;a href=&quot;https://doi.org/10.1016/j.jfa.2020.108848&quot;&gt;https://doi.org/10.1016/j.jfa.2020.108848&lt;/a&gt;.</chicago>
<ama>Lenz D, Schmidt M, Wirth M. Uniqueness of form extensions and domination of semigroups. &lt;i&gt;Journal of Functional Analysis&lt;/i&gt;. 2021;280(6). doi:&lt;a href=&quot;https://doi.org/10.1016/j.jfa.2020.108848&quot;&gt;10.1016/j.jfa.2020.108848&lt;/a&gt;</ama>
<apa>Lenz, D., Schmidt, M., &amp;#38; Wirth, M. (2021). Uniqueness of form extensions and domination of semigroups. &lt;i&gt;Journal of Functional Analysis&lt;/i&gt;. Elsevier. &lt;a href=&quot;https://doi.org/10.1016/j.jfa.2020.108848&quot;&gt;https://doi.org/10.1016/j.jfa.2020.108848&lt;/a&gt;</apa>
<short>D. Lenz, M. Schmidt, M. Wirth, Journal of Functional Analysis 280 (2021).</short>
<mla>Lenz, Daniel, et al. “Uniqueness of Form Extensions and Domination of Semigroups.” &lt;i&gt;Journal of Functional Analysis&lt;/i&gt;, vol. 280, no. 6, 108848, Elsevier, 2021, doi:&lt;a href=&quot;https://doi.org/10.1016/j.jfa.2020.108848&quot;&gt;10.1016/j.jfa.2020.108848&lt;/a&gt;.</mla>
<ista>Lenz D, Schmidt M, Wirth M. 2021. Uniqueness of form extensions and domination of semigroups. Journal of Functional Analysis. 280(6), 108848.</ista>
<ieee>D. Lenz, M. Schmidt, and M. Wirth, “Uniqueness of form extensions and domination of semigroups,” &lt;i&gt;Journal of Functional Analysis&lt;/i&gt;, vol. 280, no. 6. Elsevier, 2021.</ieee>
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