Complex analysis of infinite dimensional spaces (Record no. 66953)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02023nam a2200193 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 1852331585 (acidfree paper) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.98 |
| Item number | DIN/C |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Dineen, Seán |
| 245 10 - TITLE STATEMENT | |
| Title | Complex analysis of infinite dimensional spaces |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | London |
| -- | New York |
| Name of publisher | Springer |
| Year of publication | 1999 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xv, 543 p. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a remarkable feature of mathematics - its unity. Unity requires synthesis while synthesis leads to unity. It is necessary to stand back every so often, to take an overall look at one's subject and ask "How has it developed over the last ten, twenty, fifty years? Where is it going? What am I doing?" I was asking these questions during the spring of 1993 as I prepared a short course to be given at Universidade Federal do Rio de Janeiro during the following July. The abundance of suit able material made the selection of topics difficult. For some time I hesitated between two very different aspects of infinite dimensional holomorphy, the geometric-algebraic theory associated with bounded symmetric domains and Jordan triple systems and the topological theory which forms the subject of the present book. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Holomorphic functions |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Linear topological spaces |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functions of complex variables |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BK |
| 001 - CONTROL NUMBER | |
| control field | 4521709 |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| LC control number | 99025273 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | |
| Damaged status | |
| Collection code | Home library | Shelving location | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|
| Stack | Kannur University Central Library | Stack | 16/06/2023 | 515.98 DIN/C | 59456 | BK |