東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Geometry of the unit sphere in polyn...

Ferrer, Jesus.

FindBook

Google Book

Amazon

博客來

Geometry of the unit sphere in polynomial spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometry of the unit sphere in polynomial spaces/ by Jesus Ferrer ... [et al.].
其他作者:	Ferrer, Jesus.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	vi, 137 p. :ill., digital ;24 cm.
內容註:	Chapter. 1. Introduction -- Chapter. 2. Polynomials of degree -- Chapter. 3. Spaces of trinomials -- Chapter. 4. Polynomials on nonsymmetric convex bodies -- Chapter. 5. Sequence Banach spaces -- Chapter. 6. Polynomials with the hexagonal and octagonal norms -- Chapter. 7. Hilbert spaces -- Chapter. 8. Banach spaces -- Chapter. 9. Applications.
Contained By:	Springer Nature eBook
標題:	Functional analysis. -
電子資源:	https://doi.org/10.1007/978-3-031-23676-1
ISBN:	9783031236761

Geometry of the unit sphere in polynomial spaces
Geometry of the unit sphere in polynomial spaces[electronic resource] /by Jesus Ferrer ... [et al.]. - Cham :Springer International Publishing :2022. - vi, 137 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

Chapter. 1. Introduction -- Chapter. 2. Polynomials of degree -- Chapter. 3. Spaces of trinomials -- Chapter. 4. Polynomials on nonsymmetric convex bodies -- Chapter. 5. Sequence Banach spaces -- Chapter. 6. Polynomials with the hexagonal and octagonal norms -- Chapter. 7. Hilbert spaces -- Chapter. 8. Banach spaces -- Chapter. 9. Applications.

This brief presents a global perspective on the geometry of spaces of polynomials. Its particular focus is on polynomial spaces of dimension 3, providing, in that case, a graphical representation of the unit ball. Also, the extreme points in the unit ball of several polynomial spaces are characterized. Finally, a number of applications to obtain sharp classical polynomial inequalities are presented. The study performed is the first ever complete account on the geometry of the unit ball of polynomial spaces. Nowadays there are hundreds of research papers on this topic and our work gathers the state of the art of the main and/or relevant results up to now. This book is intended for a broad audience, including undergraduate and graduate students, junior and senior researchers and it also serves as a source book for consultation. In addition to that, we made this work visually attractive by including in it over 50 original figures in order to help in the understanding of all the results and techniques included in the book.

ISBN: 9783031236761

Standard No.: 10.1007/978-3-031-23676-1doiSubjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Geometry of the unit sphere in polynomial spaces
LDR:02411nmm a2200337 a 4500 001 2308177
003 DE-He213
005 20230314133934.0
006 m d
007 cr nn 008maaau
008 230526s2022 sz s 0 eng d
020 $a 9783031236761 $q (electronic bk.)
020 $a 9783031236754 $q (paper)
024 7 $a 10.1007/978-3-031-23676-1 $2 doi
035 $a 978-3-031-23676-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA320
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
090 $a QA320 $b .G345 2022
245 0 0 $a Geometry of the unit sphere in polynomial spaces $h [electronic resource] / $c by Jesus Ferrer ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a vi, 137 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8201
505 0 $a Chapter. 1. Introduction -- Chapter. 2. Polynomials of degree -- Chapter. 3. Spaces of trinomials -- Chapter. 4. Polynomials on nonsymmetric convex bodies -- Chapter. 5. Sequence Banach spaces -- Chapter. 6. Polynomials with the hexagonal and octagonal norms -- Chapter. 7. Hilbert spaces -- Chapter. 8. Banach spaces -- Chapter. 9. Applications.
520 $a This brief presents a global perspective on the geometry of spaces of polynomials. Its particular focus is on polynomial spaces of dimension 3, providing, in that case, a graphical representation of the unit ball. Also, the extreme points in the unit ball of several polynomial spaces are characterized. Finally, a number of applications to obtain sharp classical polynomial inequalities are presented. The study performed is the first ever complete account on the geometry of the unit ball of polynomial spaces. Nowadays there are hundreds of research papers on this topic and our work gathers the state of the art of the main and/or relevant results up to now. This book is intended for a broad audience, including undergraduate and graduate students, junior and senior researchers and it also serves as a source book for consultation. In addition to that, we made this work visually attractive by including in it over 50 original figures in order to help in the understanding of all the results and techniques included in the book.
650 0 $a Functional analysis. $3 531838
650 0 $a Geometry, Algebraic. $3 532048
650 0 $a Polynomials. $3 604754
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Geometry. $3 517251
700 1 $a Ferrer, Jesus. $3 3614159
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u https://doi.org/10.1007/978-3-031-23676-1
950 $a Mathematics and Statistics (SpringerNature-11649)