000 03596nam a22005655i 4500
001 978-981-99-7111-4
003 DE-He213
005 20251030111432.0
007 cr nn 008mamaa
008 240219s2024 si | s |||| 0|eng d
020 _a9789819971114
_9978-981-99-7111-4
024 7 _a10.1007/978-981-99-7111-4
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
100 1 _aMal, Arpita.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971301
245 1 0 _aBirkhoff–James Orthogonality and Geometry of Operator Spaces
_h[electronic resource] /
_cby Arpita Mal, Kallol Paul, Debmalya Sain.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aXIII, 251 p. 13 illus., 4 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aInfosys Science Foundation Series in Mathematical Sciences,
_x2364-4044
505 0 _a1 Notations and Terminologies -- 2 Basic theory of B-J orthogonality in Banach space -- 3 Operator norm attainment -- 4 B-J orthogonality of operators -- 5 Approximate B-J orthogonality -- 6 Smoothness and k−smoothness of operators -- 7 Symmetry of the B-J orthogonality -- 8 Extreme contractions.
520 _aThis book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and its properties, the notion of which plays a very important role in the characterization of B-J orthogonality of operators. The structure of the norm attainment set is studied for Hilbert space operators and is yet to be understood completely for operators between Banach spaces. The book explores the interrelation between B-J orthogonality in the ground space and in the space of operators in its fullest generality. The book further explores the concept of approximate B-J orthogonality and investigated its geometry both in the ground space as well as in the space of operators. It highlights important geometric properties like smoothness and k-smoothness of bounded linear operators, extreme contractions and symmetricity of bounded linear operators defined between Hilbert spaces as well as Banach spaces.
650 0 _aOperator theory.
_971302
650 0 _aGeometry.
_968763
650 0 _aFunctional analysis.
_971303
650 1 4 _aOperator Theory.
_971304
650 2 4 _aGeometry.
_968763
650 2 4 _aFunctional Analysis.
_971305
700 1 _aPaul, Kallol.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971306
700 1 _aSain, Debmalya.
_eauthor.
_0(orcid)0000-0002-9721-1597
_1https://orcid.org/0000-0002-9721-1597
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971307
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819971107
776 0 8 _iPrinted edition:
_z9789819971121
776 0 8 _iPrinted edition:
_z9789819971138
830 0 _aInfosys Science Foundation Series in Mathematical Sciences,
_x2364-4044
_969688
856 4 0 _uhttps://doi.org/10.1007/978-981-99-7111-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c57719
_d57719