scholarly journals A Class of Schur Multipliers on Some Quasi-Banach Spaces of Infinite Matrices

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Nicolae Popa
Keyword(s):  
Banach Spaces ◽  
Infinite Matrices ◽  
Schur Multipliers ◽  
Scalar Type

We characterize the Schur multipliers of scalar type acting on scattered classes of infinite matrices.

scholarly journals Some new characterizations of Bloch type spaces of infinite matrices via Schur multipliers

2015 ◽  
Vol 87 (3-4) ◽  
pp. 351-370
Author(s):  
ANCA N. MARCOCI ◽  
LIVIU G. MARCOCI ◽  
LARS-ERIK PERSSON ◽  
NICOLAE POPA
Keyword(s):  
Infinite Matrices ◽  
Schur Multipliers ◽  
Type Spaces

scholarly journals Semigroups and Scalar-Type Operators in Banach Spaces

1994 ◽  
Vol 119 (2) ◽  
pp. 468-480 ◽  
Author(s):  
R. Lange ◽  
B. Nagy
Keyword(s):  
Banach Spaces ◽  
Scalar Type

scholarly journals Well-bounded operators of type (B) in a class of Banach spaces

1987 ◽  
Vol 42 (3) ◽  
pp. 399-408 ◽  
Author(s):  
Werner Ricker
Keyword(s):  
Integral Representation ◽  
Banach Spaces ◽  
Hilbert Spaces ◽  
Unitary Groups ◽  
Real Spectrum ◽  
Type B ◽  
Bounded Operators ◽  
Scalar Type ◽  
Normal Operators ◽  
Grothendieck Space

AbstractIt is shown that in a Grothendieck space with the Dunford-Pettis property, the class of well-bounded operators of type (B) coincides with the class of scalar-type spectral operators with real spectrum. It turns out that in such Banach spaces, analogues of the classical theorems of Hille-Sz. Nagy and Stone concerned with the integral representation of C0-semigroups of normal operators and strongly continuous unitary groups in Hilbert spaces, respectively, are of a very special nature.

scholarly journals Semi-groups of scalar type operators in Banach spaces

1969 ◽  
Vol 30 (2) ◽  
pp. 489-517 ◽  
Author(s):  
T. V. Panchapagesan
Keyword(s):  
Banach Spaces ◽  
Scalar Type
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