Characterizations of weaving for g-frames by induced sequences
In this paper we use two kinds of induced sequences of two g-frames { Λ j : j ∈ J } and { Γ j : j ∈ J } on U to characterize when { Λ j : j ∈ J } and { Γ j : j ∈ J } are woven on U , and vice versa. Meanwhile, we present an example to show that a result obtained by Deepshikha et al. on an equivalent...
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| Veröffentlicht in: | Journal of pseudo-differential operators and applications 2021-12, Vol.12 (4), Article 60 |
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| container_title | Journal of pseudo-differential operators and applications |
| container_volume | 12 |
| creator | Xiao, Xiangchun Zhao, Guoping Zhou, Guorong |
| description | In this paper we use two kinds of induced sequences of two g-frames
{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
on
U
to characterize when
{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
are woven on
U
, and vice versa. Meanwhile, we present an example to show that a result obtained by Deepshikha et al. on an equivalent characterization of two
K
-g-frames being woven on
U
is incorrect. |
| doi_str_mv | 10.1007/s11868-021-00430-x |
| format | Article |
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{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
on
U
to characterize when
{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
are woven on
U
, and vice versa. Meanwhile, we present an example to show that a result obtained by Deepshikha et al. on an equivalent characterization of two
K
-g-frames being woven on
U
is incorrect.</description><identifier>ISSN: 1662-9981</identifier><identifier>EISSN: 1662-999X</identifier><identifier>DOI: 10.1007/s11868-021-00430-x</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Algebra ; Analysis ; Applications of Mathematics ; Frames ; Functional Analysis ; Mathematics ; Mathematics and Statistics ; Operator Theory ; Partial Differential Equations</subject><ispartof>Journal of pseudo-differential operators and applications, 2021-12, Vol.12 (4), Article 60</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021</rights><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2021.</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-5922a8d49b4ace6c003505cb990ec02c1a3a9a524ebe9d2a14f796d88ab2e73c3</cites><orcidid>0000-0002-0030-2688</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/s11868-021-00430-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11868-021-00430-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Xiao, Xiangchun</creatorcontrib><creatorcontrib>Zhao, Guoping</creatorcontrib><creatorcontrib>Zhou, Guorong</creatorcontrib><title>Characterizations of weaving for g-frames by induced sequences</title><title>Journal of pseudo-differential operators and applications</title><addtitle>J. Pseudo-Differ. Oper. Appl</addtitle><description>In this paper we use two kinds of induced sequences of two g-frames
{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
on
U
to characterize when
{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
are woven on
U
, and vice versa. Meanwhile, we present an example to show that a result obtained by Deepshikha et al. on an equivalent characterization of two
K
-g-frames being woven on
U
is incorrect.</description><subject>Algebra</subject><subject>Analysis</subject><subject>Applications of Mathematics</subject><subject>Frames</subject><subject>Functional Analysis</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operator Theory</subject><subject>Partial Differential Equations</subject><issn>1662-9981</issn><issn>1662-999X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLAzEQx4MoWLRfwFPAc3SS7CO5CFJ8QcGLgrcwm52tW-xuTbba-umNrujNucwc_g_mx9iJhDMJUJ5HKU1hBCgpADINYrvHJrIolLDWPu3_3kYesmmMS0ijrZZST9jF7BkD-oFC-4FD23eR9w1_J3xruwVv-sAXogm4osirHW-7euOp5pFeN9R5isfsoMGXSNOffcQer68eZrdifn9zN7ucC69KGERulUJTZ7bK0FPhU38Oua-sBfKgvESNFnOVUUW2ViizprRFbQxWikrt9RE7HXPXoU_VcXDLfhO6VOlUnl6BIstNUqlR5UMfY6DGrUO7wrBzEtwXKjeicgmV-0bltsmkR1NM4m5B4S_6H9cntCJsNQ</recordid><startdate>20211201</startdate><enddate>20211201</enddate><creator>Xiao, Xiangchun</creator><creator>Zhao, Guoping</creator><creator>Zhou, Guorong</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0002-0030-2688</orcidid></search><sort><creationdate>20211201</creationdate><title>Characterizations of weaving for g-frames by induced sequences</title><author>Xiao, Xiangchun ; Zhao, Guoping ; Zhou, Guorong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-5922a8d49b4ace6c003505cb990ec02c1a3a9a524ebe9d2a14f796d88ab2e73c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Algebra</topic><topic>Analysis</topic><topic>Applications of Mathematics</topic><topic>Frames</topic><topic>Functional Analysis</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operator Theory</topic><topic>Partial Differential Equations</topic><toplevel>online_resources</toplevel><creatorcontrib>Xiao, Xiangchun</creatorcontrib><creatorcontrib>Zhao, Guoping</creatorcontrib><creatorcontrib>Zhou, Guorong</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of pseudo-differential operators and applications</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xiao, Xiangchun</au><au>Zhao, Guoping</au><au>Zhou, Guorong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Characterizations of weaving for g-frames by induced sequences</atitle><jtitle>Journal of pseudo-differential operators and applications</jtitle><stitle>J. Pseudo-Differ. Oper. Appl</stitle><date>2021-12-01</date><risdate>2021</risdate><volume>12</volume><issue>4</issue><artnum>60</artnum><issn>1662-9981</issn><eissn>1662-999X</eissn><abstract>In this paper we use two kinds of induced sequences of two g-frames
{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
on
U
to characterize when
{
Λ
j
:
j
∈
J
}
and
{
Γ
j
:
j
∈
J
}
are woven on
U
, and vice versa. Meanwhile, we present an example to show that a result obtained by Deepshikha et al. on an equivalent characterization of two
K
-g-frames being woven on
U
is incorrect.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s11868-021-00430-x</doi><orcidid>https://orcid.org/0000-0002-0030-2688</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1662-9981 |
| ispartof | Journal of pseudo-differential operators and applications, 2021-12, Vol.12 (4), Article 60 |
| issn | 1662-9981 1662-999X |
| language | eng |
| recordid | cdi_proquest_journals_2593106458 |
| source | SpringerNature Journals |
| subjects | Algebra Analysis Applications of Mathematics Frames Functional Analysis Mathematics Mathematics and Statistics Operator Theory Partial Differential Equations |
| title | Characterizations of weaving for g-frames by induced sequences |
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