Birkhoff–James Orthogonality and Geometry of Operator Spaces eBook

Delivery: Can be download immediately after purchasing. For new customer, we need process for verification from 30 mins to 12 hours.
Version: PDF/EPUB. If you need EPUB and MOBI Version, please contact us.
Compatible Devices: Can be read on any devices.

This 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.

This is a digital product.

Birkhoff–James Orthogonality and Geometry of Operator Spaces is written by Arpita Mal; Kallol Paul; Debmalya Sain and published by Springer. The Digital and eTextbook ISBNs for Birkhoff–James Orthogonality and Geometry of Operator Spaces are 9789819971114, 981997111X and the print ISBNs are 9789819971107, 9819971101.