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010   $a3-319-71333-7
024 7 $a10.1007/978-3-319-71333-5
035   $a(CKB)4100000003359227
035   $a(DE-He213)978-3-319-71333-5
035   $a(MiAaPQ)EBC6304019
035   $a(MiAaPQ)EBC5578306
035   $a(Au-PeEL)EBL5578306
035   $a(OCoLC)1032303008
035   $a(PPN)226696340
035   $a(EXLCZ)994100000003359227
100   $a20180416d2018      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aSpear Operators Between Banach Spaces /$fby Vladimir Kadets, Miguel Martín, Javier Merí, Antonio Pérez
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XVII, 164 p. 5 illus.)
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2205
311   $a3-319-71332-9 
327   $a1. Introduction -- 2. Spear Vectors and Spear Sets -- 3. Spearness, the aDP and Lushness -- 4. Some Examples in Classical Banach Spaces -- 5. Further Results -- 6. Isometric and Isomorphic Consequences -- 7. Lipschitz Spear Operators -- 8. Some Stability Results -- 9. Open Problems.
330   $aThis monograph is devoted to the study of spear operators, that is, bounded linear operators $G$ between Banach spaces $X$ and $Y$ satisfying that for every other bounded linear operator $T:X\longrightarrow Y$ there exists a modulus-one scalar $\omega$ such that $\/G + \omega\,T\/=1+ \/T\/$. This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on $L_1$. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied. The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v2205
606   $aMathematical analysis
606   $aAnalysis
615  0$aMathematical analysis.
615 14$aAnalysis.
676   $a515.724
700   $aKadets$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut$059669
702   $aMartín$b Miguel$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aMerí$b Javier$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aPérez$b Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300098403321
996   $aSpear Operators Between Banach Spaces$92283993
997   $aUNINA