scholarly journals On the generalized Hyers–Ulam–Rassias stability in Banach modules over a C∗-algebra

2004 ◽  
Vol 294 (1) ◽  
pp. 196-205 ◽  
Author(s):  
Jae-Hyeong Bae ◽  
Won-Gil Park
Keyword(s):  
C Algebra ◽  
Banach Modules ◽  
Rassias Stability

scholarly journals ON A GENERALIZED TRIF'S MAPPING IN BANACH MODULES OVER A C*-ALGEBRA

2006 ◽  
Vol 43 (2) ◽  
pp. 323-356 ◽  
Author(s):  
Chun-Gil Park ◽  
Themistocles M. Rassias
Keyword(s):  
C Algebra ◽  
Banach Modules

scholarly journals GENERALIZED JENSEN’S EQUATIONS IN BANACH MODULES OVER A C∗-ALGEBRA AND ITS UNITARY GROUP

2003 ◽  
Vol 7 (4) ◽  
pp. 641-655 ◽  
Author(s):  
Deok-Hoon Boo ◽  
Sei-Qwon Oh ◽  
Chun-Gil Park ◽  
Jae-Myung Park
Keyword(s):  
Unitary Group ◽  
C Algebra ◽  
Banach Modules

scholarly journals Superstability of adjointable mappings on Hilbert c∗-modules

2009 ◽  
Vol 3 (1) ◽  
pp. 39-45 ◽  
Author(s):  
M. Frank ◽  
P. Găvruţa ◽  
M.S. Moslehian
Keyword(s):  
Banach Spaces ◽  
Linear Mapping ◽  
Stability Theorem ◽  
Classical Sense ◽  
C Algebra ◽  
The Stability ◽  
Densely Defined ◽  
Rassias Stability

We define the notion of ?-perturbation of a densely defined adjointable mapping and prove that any such mapping f between Hilbert A-modules over a fixed C*-algebra A with densely defined corresponding mapping g is A-linear and adjointable in the classical sense with adjoint g. If both f and g are every- where defined then they are bounded. Our work concerns with the concept of Hyers-Ulam-Rassias stability originated from the Th. M. Rassias' stability theorem that appeared in his paper [On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300]. We also indicate complementary results in the case where the Hilbert C?-modules admit non-adjointable C*-linear mappings.

scholarly journals Multilinear Jensen Type Mappings in Banach Modules over a C^✻-Algebra

2005 ◽  
pp. 487-496
Author(s):  
Chun-Gil Park ◽  
Won-Gil Park ◽  
Sang-Hyuk Lee
Keyword(s):  
C Algebra ◽  
Banach Modules
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