|
|
|
|
| LEADER |
00000cam a2200000Ia 4500 |
| 001 |
11199510 |
| 006 |
m o d |
| 007 |
cr |nu---unuuu |
| 008 |
100315s2009 nju ob 001 0 eng d |
| 005 |
20240628204651.3 |
| 019 |
|
|
|a 696629358
|
| 020 |
|
|
|a 9789812833884
|q (electronic bk.)
|
| 020 |
|
|
|a 9812833889
|q (electronic bk.)
|
| 020 |
|
|
|z 9789812833877
|
| 020 |
|
|
|z 9812833870
|
| 035 |
|
|
|a (OCoLC)554919213
|z (OCoLC)696629358
|
| 035 |
|
9 |
|a (OCLCCM-CC)554919213
|
| 040 |
|
|
|a N$T
|b eng
|e pn
|c N$T
|d OSU
|d EBLCP
|d IDEBK
|d OCLCQ
|d YDXCP
|d DEBSZ
|d OCLCQ
|d NLGGC
|d OCLCQ
|d M6U
|d OCLCF
|d OCLCQ
|d AGLDB
|d MOR
|d ZCU
|d MERUC
|d OCLCQ
|d U3W
|d STF
|d VTS
|d ICG
|d INT
|d VT2
|d AU@
|d OCLCQ
|d JBG
|d WYU
|d TKN
|d OCLCQ
|d LEAUB
|d DKC
|d OCLCQ
|d UKAHL
|d OCLCQ
|
| 049 |
|
|
|a MAIN
|
| 050 |
|
4 |
|a QA295
|b .S93 2009eb
|
| 072 |
|
7 |
|a MAT
|x 016000
|2 bisacsh
|
| 100 |
1 |
|
|a Swartz, Charles,
|d 1938-
|0 http://id.loc.gov/authorities/names/n84221175
|
| 245 |
1 |
0 |
|a Multiplier convergent series /
|c Charles Swartz.
|
| 260 |
|
|
|a Hackensack, N.J. :
|b World Scientific Pub.,
|c ©2009.
|
| 300 |
|
|
|a 1 online resource (x, 253 pages)
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 504 |
|
|
|a Includes bibliographical references (pages 245-249) and index.
|
| 505 |
0 |
|
|a Introduction -- Basic properties of multiplier convergent series -- Applications of multiplier convergent series -- The Orlicz-Pettis theorem -- Orlicz-Pettis theorems for the strong topology -- Orlicz-Pettis theorems for linear operators -- The Hahn-Schur theorem -- Spaces of multiplier convergent series and multipliers -- The Antosik interchange theorem -- Automatic continuity of matrix mappings -- Operator valued series and vector valued multipliers -- Orlicz-Pettis theorems for operator valued series -- Hahn-Schur theorems for operator valued series -- Automatic continuity for operator valued matrices.
|
| 588 |
0 |
|
|a Print version record.
|
| 520 |
|
|
|a If [symbol] is a space of scalar-valued sequences, then a series [symbol] xj in a topological vector space X is [symbol]-multiplier convergent if the series [symbol] tjxj converges in X for every [symbol]. This monograph studies properties of such series and gives applications to topics in locally convex spaces and vector-valued measures. A number of versions of the Orlicz-Pettis theorem are derived for multiplier convergent series with respect to various locally convex topologies. Variants of the classical Hahn-Schur theorem on the equivalence of weak and norm convergent series in [symbol] are also developed for multiplier convergent series. Finally, the notion of multiplier convergent series is extended to operator-valued series and vector-valued multipliers.
|
| 650 |
|
0 |
|a Convergence.
|0 http://id.loc.gov/authorities/subjects/sh85031692
|
| 650 |
|
0 |
|a Multipliers (Mathematical analysis)
|0 http://id.loc.gov/authorities/subjects/sh85088385
|
| 650 |
|
0 |
|a Series, Arithmetic.
|0 http://id.loc.gov/authorities/subjects/sh85120238
|
| 650 |
|
0 |
|a Orlicz spaces.
|0 http://id.loc.gov/authorities/subjects/sh85095692
|
| 650 |
|
7 |
|a MATHEMATICS
|x Infinity.
|2 bisacsh
|
| 650 |
|
7 |
|a Convergence.
|2 fast
|0 (OCoLC)fst00877195
|
| 650 |
|
7 |
|a Multipliers (Mathematical analysis)
|2 fast
|0 (OCoLC)fst01029066
|
| 650 |
|
7 |
|a Orlicz spaces.
|2 fast
|0 (OCoLC)fst01048255
|
| 650 |
|
7 |
|a Series, Arithmetic.
|2 fast
|0 (OCoLC)fst01113175
|
| 650 |
|
7 |
|a Applied Mathematics.
|2 hilcc
|
| 650 |
|
7 |
|a Engineering & Applied Sciences.
|2 hilcc
|
| 655 |
|
4 |
|a Electronic books.
|
| 655 |
|
0 |
|a Electronic books.
|
| 776 |
0 |
8 |
|i Print version:
|a Swartz, Charles, 1938-
|t Multiplier convergent series.
|d Hackensack, N.J. : World Scientific Publishing, ©2009
|z 9789812833877
|w (DLC) 2009277312
|w (OCoLC)228372408
|
| 903 |
|
|
|a HeVa
|
| 929 |
|
|
|a oclccm
|
| 999 |
f |
f |
|i b24b036d-4140-548f-903f-80296320dbc9
|s 9ffb5403-511b-59da-8393-0d2b430c3d13
|
| 928 |
|
|
|t Library of Congress classification
|a QA295 .S93 2009eb
|l Online
|c UC-FullText
|u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=305214
|z eBooks on EBSCOhost
|g ebooks
|i 12275509
|
