000			01928nam a2200265 4500
005			20250612174148.0
008			250612b |||||||| |||| 00| 0 eng d
020			_a9789819971107
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB46 R4 NBHM _qCSL
100			_aMal, Arpita _eauthor. _9810210
245			_aBirkhoff-James orthogonality and geometry of operator spaces
260			_aSingapore : _bSpringer Nature, _c2024.
300			_axiii,251 p. _c24 cm.
440			_vInfosys science foundation in mathematical sciences
500			_aIncludes bibliography and index.
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			_2Hilbert Space
650			_2Birkhoff-James Orthogonality
650			_2k-smoothness of an Operator
650			_2Approximate Birkhoff-James Orthogonality
650			_2Extreme Contraction
942			_2CC _n0 _cTEXL _hB46 R4 NBHM
999			_c1431673 _d1431673