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
- Title:
- 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)
- Main Title:
- Invitation to linear operators : from matrices to bounded linear operators on a Hilbert space
- 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.
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- 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).
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- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Physical Locations:
- British Library HMNTS - ELD.DS.168579
- Ingest File:
- 02_052.xml