Invitation to linear operators : from matrices to bounded linear operators on a Hilbert space /: from matrices to bounded linear operators on a Hilbert space. (2014)

• Record Type: Book
• Further Information: Note: Takayuki Furuta.
• Authors: Furuta, T (Takayuki), 1935-
• Contents: HILBERT SPACES; Inner Product Spaces and Hilbert Spaces; Jordan-Neuman Theorem; Orthogonal Decomposition of Hilbert Space; Gram-Schmidt Orthonormal Procedure and its Applications; FUNDAMENTAL PROPERTIES OF BOUNDED LINEAR OPERATIONS; Bounded Linear Operations on Hilbert Space; Partial Isometry Operator and Polar Decomposition of an Operator; Polar Decomposition of an Operator and its Applications; Spectrum of an Operator; Numerical Range of an Operator; Relations Among Several Classes of Non-normal Operators; Characterizations of Convexoid Operators and Related Examples; ; FURTHER DEVELOPMENT OF BOUNDED LINEAR OPERATORS; Young Inequality and Holder-McCarthy Inequality; Lowner-Heinz Inequality and Furuta Inequality; Chaotic Order and the Relative Operator Entropy; Aluthge Transformation on P-Hyponormal Operators and Log-Hyponormal Operators; A Subclass of Paranormal Operators Including Loh-Hyponormal Operators and Several Related Classes; Operator Inequalities Associated With Kantorovich Inequality and Holder-McCarthy Inequality; Some Properties on Partial Isometry, Quasinormality and Paranormality; Weighted Mixed Schwarz Inequality and Generalized Schwarz Inequality; Selberg Inequality; An Extension of Heinz-Kato Inequality; Norm Inequalities Equivalent to Lower-Heinz Inequality; Norm Inequalities Equivalent to Heinz Inequality; Bibliography; Index
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2014
• Extent: 1 online resource
• Subjects: 515.7246; Linear operators; Matrices
• Languages: English
• ISBNs: 9781482262940
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.