TY  - BOOK
AU  - Hiai,Fumio
AU  - Kosaki,Hideki
ED  - SpringerLink (Online service)
TI  - Means of Hilbert Space Operators
T2  - Lecture Notes in Mathematics,
SN  - 9783540451525
AV  - QA329-329.9 
U1  - 515.724 23
PY  - 2003///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Matrix theory
KW  - Operator theory
KW  - Operator Theory
KW  - Linear and Multilinear Algebras, Matrix Theory
N1  - Introduction -- Double integral transformations -- Means of operators and their comparison -- Convergence of means -- A-L-G interpolation means Ma -- Heinz-type means Aa -- Binomial means Ba -- Certain alternating sums of operators -- Appendices -- References -- Index
N2  - The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices
UR  - http://dx.doi.org/10.1007/b13213
ER  -