A formula for the g-angle between two subspaces of a normed space
We develop the notion of g -angle between two subspaces of a normed space. In particular, we discuss the g -angle between a 1-dimensional subspace and a t -dimensional subspace for t ≥ 1 and the g -angle between a 2-dimensional subspace and a t -dimensional subspace for t ≥ 2 . Moreover, we present...
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| Veröffentlicht in: | Beiträge zur Algebra und Geometrie 2018-03, Vol.59 (1), p.133-143 |
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| container_end_page | 143 |
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| container_issue | 1 |
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| container_title | Beiträge zur Algebra und Geometrie |
| container_volume | 59 |
| creator | Nur, M. Gunawan, H. Neswan, O. |
| description | We develop the notion of
g
-angle between two subspaces of a normed space. In particular, we discuss the
g
-angle between a 1-dimensional subspace and a
t
-dimensional subspace for
t
≥
1
and the
g
-angle between a 2-dimensional subspace and a
t
-dimensional subspace for
t
≥
2
. Moreover, we present an explicit formula for the
g
-angle between two subspaces of
ℓ
p
spaces. |
| doi_str_mv | 10.1007/s13366-017-0355-5 |
| format | Article |
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g
-angle between two subspaces of a normed space. In particular, we discuss the
g
-angle between a 1-dimensional subspace and a
t
-dimensional subspace for
t
≥
1
and the
g
-angle between a 2-dimensional subspace and a
t
-dimensional subspace for
t
≥
2
. Moreover, we present an explicit formula for the
g
-angle between two subspaces of
ℓ
p
spaces.</description><identifier>ISSN: 0138-4821</identifier><identifier>EISSN: 2191-0383</identifier><identifier>DOI: 10.1007/s13366-017-0355-5</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algebra ; Algebraic Geometry ; Convex and Discrete Geometry ; Geometry ; Mathematics ; Mathematics and Statistics ; Original Paper ; Subspaces</subject><ispartof>Beiträge zur Algebra und Geometrie, 2018-03, Vol.59 (1), p.133-143</ispartof><rights>The Managing Editors 2017</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-2079ca89d4865f10e77faf24b6d054fe068d8961b297edde94660f02bbbed09d3</citedby><cites>FETCH-LOGICAL-c316t-2079ca89d4865f10e77faf24b6d054fe068d8961b297edde94660f02bbbed09d3</cites><orcidid>0000-0001-7879-8321</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s13366-017-0355-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s13366-017-0355-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Nur, M.</creatorcontrib><creatorcontrib>Gunawan, H.</creatorcontrib><creatorcontrib>Neswan, O.</creatorcontrib><title>A formula for the g-angle between two subspaces of a normed space</title><title>Beiträge zur Algebra und Geometrie</title><addtitle>Beitr Algebra Geom</addtitle><description>We develop the notion of
g
-angle between two subspaces of a normed space. In particular, we discuss the
g
-angle between a 1-dimensional subspace and a
t
-dimensional subspace for
t
≥
1
and the
g
-angle between a 2-dimensional subspace and a
t
-dimensional subspace for
t
≥
2
. Moreover, we present an explicit formula for the
g
-angle between two subspaces of
ℓ
p
spaces.</description><subject>Algebra</subject><subject>Algebraic Geometry</subject><subject>Convex and Discrete Geometry</subject><subject>Geometry</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Original Paper</subject><subject>Subspaces</subject><issn>0138-4821</issn><issn>2191-0383</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kM1LAzEQxYMoWKt_gLeA5-gk2XzssRS_oOBFzyG7mVRLu1uTXYr_vakrePI0zPDeG96PkGsOtxzA3GUupdYMuGEglWLqhMwEr3nZrDwlM-DSssoKfk4uct4AgDbGzMhiQWOfduPWHycd3pGume_WW6QNDgfEjg6HnuaxyXvfYqZ9pJ52xYKB_pwuyVn024xXv3NO3h7uX5dPbPXy-LxcrFgruR6YAFO33tahslpFDmhM9FFUjQ6gqoigbbC15o2oDYaAdaU1RBBN02CAOsg5uZly96n_HDEPbtOPqSsvnSh1SrVK6aLik6pNfc4Jo9unj51PX46DO5JyEylXSLkjKaeKR0yeXLTdGtNf8v-mb0ZEahA</recordid><startdate>20180301</startdate><enddate>20180301</enddate><creator>Nur, M.</creator><creator>Gunawan, H.</creator><creator>Neswan, O.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0001-7879-8321</orcidid></search><sort><creationdate>20180301</creationdate><title>A formula for the g-angle between two subspaces of a normed space</title><author>Nur, M. ; Gunawan, H. ; Neswan, O.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-2079ca89d4865f10e77faf24b6d054fe068d8961b297edde94660f02bbbed09d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Algebra</topic><topic>Algebraic Geometry</topic><topic>Convex and Discrete Geometry</topic><topic>Geometry</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Original Paper</topic><topic>Subspaces</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nur, M.</creatorcontrib><creatorcontrib>Gunawan, H.</creatorcontrib><creatorcontrib>Neswan, O.</creatorcontrib><collection>CrossRef</collection><jtitle>Beiträge zur Algebra und Geometrie</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nur, M.</au><au>Gunawan, H.</au><au>Neswan, O.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A formula for the g-angle between two subspaces of a normed space</atitle><jtitle>Beiträge zur Algebra und Geometrie</jtitle><stitle>Beitr Algebra Geom</stitle><date>2018-03-01</date><risdate>2018</risdate><volume>59</volume><issue>1</issue><spage>133</spage><epage>143</epage><pages>133-143</pages><issn>0138-4821</issn><eissn>2191-0383</eissn><abstract>We develop the notion of
g
-angle between two subspaces of a normed space. In particular, we discuss the
g
-angle between a 1-dimensional subspace and a
t
-dimensional subspace for
t
≥
1
and the
g
-angle between a 2-dimensional subspace and a
t
-dimensional subspace for
t
≥
2
. Moreover, we present an explicit formula for the
g
-angle between two subspaces of
ℓ
p
spaces.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s13366-017-0355-5</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0001-7879-8321</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0138-4821 |
| ispartof | Beiträge zur Algebra und Geometrie, 2018-03, Vol.59 (1), p.133-143 |
| issn | 0138-4821 2191-0383 |
| language | eng |
| recordid | cdi_proquest_journals_2000821456 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Algebra Algebraic Geometry Convex and Discrete Geometry Geometry Mathematics Mathematics and Statistics Original Paper Subspaces |
| title | A formula for the g-angle between two subspaces of a normed space |
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