Linear systems and operators in Hilbert space

By:

Fuhrmann, Paul A

Publication details: Dover Publications, 1981. New York:Description: x, 325p.; pbk; 24cmISBN:

9780486493053

Subject(s):

DDC classification:

515.733 FUH

Summary: Written by an internationally recognized authority in the field of systems theory, this monograph describes systems theory in the context of infinite dimensional spaces. The book offers engineers a powerful and elegant approach to the study of mathematical system theory using fairly advanced techniques of operator theory in Hilbert spaces, with an emphasis on the theory of invariant subspaces. In addition, mathematicians will appreciate the presentation of system theory as an intellectually exciting field that possesses many interesting problems with some physical intuition as a guide. Appropriate for students with no previous experience of operator theory, the three-part approach covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. The treatment's most significant feature lies in its focus on the centrality of module structure in several settings. Linear algebra, structure of self-adjoint and unitary transformation, and the structure of restricted shift operators are developed in similar ways, with emphasis on the connections between their theorems. Each section concludes with notes and references. https://store.doverpublications.com/0486493059.html

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	515.733 FUH (Browse shelf(Opens below))	1	Available		031587

Browsing IIT Gandhinagar shelves, Collection: General Close shelf browser (Hides shelf browser)

Previous								Next
Previous	515.732 LID Introduction to Banach spaces: analysis and probability, Vol.1	515.732 PIE Orthonormal systems and banach space geometry, Vol. 70	515.732 WOJ Banach spaces for analysts	515.733 FUH Linear systems and operators in Hilbert space	515.733 PAU Introduction to the theory of reproducing Kernel Hilbert spaces	515.782 CLA Natural dualities for the working algebraist	515.8 BIN Regular variation, Vol. 27	Next

Includes index and references.

Written by an internationally recognized authority in the field of systems theory, this monograph describes systems theory in the context of infinite dimensional spaces. The book offers engineers a powerful and elegant approach to the study of mathematical system theory using fairly advanced techniques of operator theory in Hilbert spaces, with an emphasis on the theory of invariant subspaces. In addition, mathematicians will appreciate the presentation of system theory as an intellectually exciting field that possesses many interesting problems with some physical intuition as a guide.
Appropriate for students with no previous experience of operator theory, the three-part approach covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. The treatment's most significant feature lies in its focus on the centrality of module structure in several settings. Linear algebra, structure of self-adjoint and unitary transformation, and the structure of restricted shift operators are developed in similar ways, with emphasis on the connections between their theorems. Each section concludes with notes and references.

https://store.doverpublications.com/0486493059.html

There are no comments on this title.

to post a comment.