Softcover ISBN:  9781470469870 
Product Code:  SURV/267 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470471132 
Product Code:  SURV/267.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470469870 
eBook: ISBN:  9781470471132 
Product Code:  SURV/267.B 
List Price:  $250.00 $187.50 
MAA Member Price:  $225.00 $168.75 
AMS Member Price:  $200.00 $150.00 
Softcover ISBN:  9781470469870 
Product Code:  SURV/267 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470471132 
Product Code:  SURV/267.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470469870 
eBook ISBN:  9781470471132 
Product Code:  SURV/267.B 
List Price:  $250.00 $187.50 
MAA Member Price:  $225.00 $168.75 
AMS Member Price:  $200.00 $150.00 

Book DetailsMathematical Surveys and MonographsVolume: 267; 2022; 170 ppMSC: Primary 47; 15
Completion problems for operator matrices are concerned with the question of whether a partially specified operator matrix can be completed to form an operator of a desired type. The research devoted to this topic provides an excellent means to investigate the structure of operators. This book provides an overview of completion problems dealing with completions to different types of operators and can be considered as a natural extension of classical results concerned with matrix completions.
The book assumes some basic familiarity with functional analysis and operator theory. It will be useful for graduate students and researchers interested in operator theory and the problem of matrix completions.
ReadershipGraduate students and researchers interested in functional analysis, operator matrices, and operator theory.

Table of Contents

Chapters

Completion problems for upper triangular operator matrices

Invertibility of an operator $A+CX$

Completions of operator matrices $M_{X}$

Completions of operator matrices $M_{(X,Y)}$


Additional Material

Reviews

The author puts together a large collection of results, related to the concept of completion of operator matrices. The results are systematically presented, the arguments are convincing and the style is clear and attractive. A bibliography of 180 titles is attached, containing many of the author's contributions. This book can be viewed as a concise monograph, dedicated to completion problems of operator matrices, useful for both beginners and advanced researchers who are interested in such topics.
Florian Horia Vasilescu (Universitéde Lille), MathSciNet


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Completion problems for operator matrices are concerned with the question of whether a partially specified operator matrix can be completed to form an operator of a desired type. The research devoted to this topic provides an excellent means to investigate the structure of operators. This book provides an overview of completion problems dealing with completions to different types of operators and can be considered as a natural extension of classical results concerned with matrix completions.
The book assumes some basic familiarity with functional analysis and operator theory. It will be useful for graduate students and researchers interested in operator theory and the problem of matrix completions.
Graduate students and researchers interested in functional analysis, operator matrices, and operator theory.

Chapters

Completion problems for upper triangular operator matrices

Invertibility of an operator $A+CX$

Completions of operator matrices $M_{X}$

Completions of operator matrices $M_{(X,Y)}$

The author puts together a large collection of results, related to the concept of completion of operator matrices. The results are systematically presented, the arguments are convincing and the style is clear and attractive. A bibliography of 180 titles is attached, containing many of the author's contributions. This book can be viewed as a concise monograph, dedicated to completion problems of operator matrices, useful for both beginners and advanced researchers who are interested in such topics.
Florian Horia Vasilescu (Universitéde Lille), MathSciNet