Norm deals of completely continuous operators / (Record no. 93288)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02004nam a22001937a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250313164428.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250313b1970 |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783662348277 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.5 SCH-R |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Schatten, Robert |
| 245 ## - TITLE STATEMENT | |
| Title | Norm deals of completely continuous operators / |
| Statement of responsibility, etc. | Robert Schatten |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York |
| Name of publisher, distributor, etc. | Springer |
| Date of publication, distribution, etc. | 1970 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 81 p. |
| 365 ## - TRADE PRICE | |
| Price type code | INR |
| Price amount | 4495.00. |
| 500 ## - GENERAL NOTE | |
| General note | Completely continuous operators on a Hilbert space or even on a Banach space have received considerable attention in the last fifty years. Their study was usually confined to special completely continuous operators or to the discovery of properties common to all of them (for instance, that every such operator admits a proper invariant subspace). On the other hand, interest in spaces of completely continuous operators is comparatively new. Some results of this type may be found implicit in the early work of E. SCHMIDT. Other results are "generally known" and cannot be found explicitly in print. One of the interesting and relatively new results states that modulo the language of BANACH (that is, up to equivalence) the space of all operators on a Hilbert space f> is the second conjugate of the space of all completely continuous operators on f>. The study of spaces of completely continuous operators on a perfectly general Banach space involves many difficulties. Some stem, for instance, from the unsolved problem whether a completely continuous operator on a perfectly general Banach space is always approximable in bound by operators of finite rank. The answer is affirmative in all the special Banach spaces considered. An affirmative answer to the above problem is the ultimate desideratum - it ~ould simplify the theory considerably. A negative answer, however, would be equally interesting (although for us not so useful), since it would settle negatively the open "basis problem". |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Operator theory |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) | |
| Withdrawn status | |
| Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Total Checkouts | Full call number | Barcode | Checked out | Date last seen | Date last checked out | Price effective from | Koha item type | Public note |
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| Dewey Decimal Classification | 510 | BITS Pilani Hyderabad | BITS Pilani Hyderabad | General Stack (For lending) | 13/03/2025 | 1 | 512.5 SCH-R | P00040 | 23/09/2025 | 27/03/2025 | 27/03/2025 | 13/03/2025 | Books | Project Book : Dr. Deepika. |