Generators of C 0 ‐groups with smallest spectra
Let T = { T ( t )} t ∈ℝ be a C 0 ‐group on a Banach space X with generator A . Under what conditions the assumption σ ( A ) = {0} implies that A = 0? This is called “ A = 0” problem. In this paper we present some results related to this problem. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim...
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| Veröffentlicht in: | Mathematische Nachrichten 2007-06, Vol.280 (8), p.924-931 |
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| container_title | Mathematische Nachrichten |
| container_volume | 280 |
| creator | Seferoglu, H. |
| description | Let
T
= {
T
(
t
)}
t
∈ℝ
be a
C
0
‐group on a Banach space
X
with generator
A
. Under what conditions the assumption
σ
(
A
) = {0} implies that
A
= 0? This is called “
A
= 0” problem. In this paper we present some results related to this problem. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| doi_str_mv | 10.1002/mana.200410525 |
| format | Article |
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T
= {
T
(
t
)}
t
∈ℝ
be a
C
0
‐group on a Banach space
X
with generator
A
. Under what conditions the assumption
σ
(
A
) = {0} implies that
A
= 0? This is called “
A
= 0” problem. In this paper we present some results related to this problem. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</description><identifier>ISSN: 0025-584X</identifier><identifier>EISSN: 1522-2616</identifier><identifier>DOI: 10.1002/mana.200410525</identifier><language>eng</language><ispartof>Mathematische Nachrichten, 2007-06, Vol.280 (8), p.924-931</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c169t-d5c501a5166096c64c9c47f3f280160aa1599f7ea0d9d7ac07719d29194fb7b23</citedby><cites>FETCH-LOGICAL-c169t-d5c501a5166096c64c9c47f3f280160aa1599f7ea0d9d7ac07719d29194fb7b23</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Seferoglu, H.</creatorcontrib><title>Generators of C 0 ‐groups with smallest spectra</title><title>Mathematische Nachrichten</title><description>Let
T
= {
T
(
t
)}
t
∈ℝ
be a
C
0
‐group on a Banach space
X
with generator
A
. Under what conditions the assumption
σ
(
A
) = {0} implies that
A
= 0? This is called “
A
= 0” problem. In this paper we present some results related to this problem. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</description><issn>0025-584X</issn><issn>1522-2616</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNo9z8FKxDAUheEgCtbRreu8QOu9aZPMXUrRURhwo-Cu3EkTHWmnJYmIOx_BZ_RJdFBcnc3PgU-Ic4QKAdTFyDuuFECDoJU-EAVqpUpl0ByK4ifQpV42j8fiJKUXACCyphC48jsfOU8xySnIVoL8-vh8itPrnOTbNj_LNPIw-JRlmr3LkU_FUeAh-bO_XYiH66v79qZc361u28t16dBQLnvtNCBrNAbIONM4co0NdVBLQAPMqImC9Qw99ZYdWIvUK0JqwsZuVL0Q1e-vi1NK0YdujtuR43uH0O3B3R7c_YPrb0tNSNs</recordid><startdate>200706</startdate><enddate>200706</enddate><creator>Seferoglu, H.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>200706</creationdate><title>Generators of C 0 ‐groups with smallest spectra</title><author>Seferoglu, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c169t-d5c501a5166096c64c9c47f3f280160aa1599f7ea0d9d7ac07719d29194fb7b23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Seferoglu, H.</creatorcontrib><collection>CrossRef</collection><jtitle>Mathematische Nachrichten</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Seferoglu, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Generators of C 0 ‐groups with smallest spectra</atitle><jtitle>Mathematische Nachrichten</jtitle><date>2007-06</date><risdate>2007</risdate><volume>280</volume><issue>8</issue><spage>924</spage><epage>931</epage><pages>924-931</pages><issn>0025-584X</issn><eissn>1522-2616</eissn><abstract>Let
T
= {
T
(
t
)}
t
∈ℝ
be a
C
0
‐group on a Banach space
X
with generator
A
. Under what conditions the assumption
σ
(
A
) = {0} implies that
A
= 0? This is called “
A
= 0” problem. In this paper we present some results related to this problem. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)</abstract><doi>10.1002/mana.200410525</doi><tpages>8</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0025-584X |
| ispartof | Mathematische Nachrichten, 2007-06, Vol.280 (8), p.924-931 |
| issn | 0025-584X 1522-2616 |
| language | eng |
| recordid | cdi_crossref_primary_10_1002_mana_200410525 |
| source | Access via Wiley Online Library |
| title | Generators of C 0 ‐groups with smallest spectra |
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