عنوان

Spear operators between Banach spaces /

شابک

3319713337

شابک

9783319713335

شابک اشتباه

3319713329

شابک اشتباه

9783319713328

عنوان اصلي

Spear operators between Banach spaces /

نام عام مواد

[Book]

نام نخستين پديدآور

Vladimir Kadets, Miguel Martín, Javier Merí, Antonio Pérez.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xv, 164 pages) :

ساير جزييات

color illustrations

عنوان فروست

Lecture notes in mathematics,

مشخصه جلد

2205

شاپا ي ISSN فروست

0075-8434 ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Historical Introduction: A Walk on the Results for Banach Spaces with Numerical Index 1 -- Spear Vectors and Spear Sets -- Three Definitions for Operators: Spearness, the Alternative Daugavet Property, and Lushness -- Some Examples in Classical Banach Spaces -- Further Results -- Isometric and Isomorphic Consequences -- Lipschitz Spear Operators -- Some Stability Results -- Open Problems -- Erratum to: Spear Operators Between Banach Spaces.

بدون عنوان

0

متن يادداشت

His monograph is devoted to the study of spear operators, that is, bounded linear operators $G$ between Banach spaces $X$ and $Y$ satisfying that for every other bounded linear operator $T:X\longrightarrow Y$ there exists a modulus-one scalar $\omega$ such that $\|G + \omega\, T\|=1+ \|T\|$. This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on $L_1$. The relationships with the Radon-Nikodým property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied. The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.--Provided by publisher.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783319713335

عنوان

Spear operators between Banach spaces.

شماره استاندارد بين المللي کتاب و موسيقي

9783319713328

موضوع مستند نشده

Banach spaces.

موضوع مستند نشده

Operator theory.

موضوع مستند نشده

Banach spaces.

موضوع مستند نشده

Calculus & mathematical analysis.

موضوع مستند نشده

Mathematics-- Mathematical Analysis.

موضوع مستند نشده

Operator theory.

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Kadet︠s︡, V. M., (Vladimir M.)

مستند نام اشخاص تاييد نشده

Martín, Miguel, (Martín Suárez)

مستند نام اشخاص تاييد نشده

Merí, Javier

مستند نام اشخاص تاييد نشده

Pérez, Antonio, (Pérez Hernández),1989-

تاريخ عمليات

20200823103228.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y