Una nota sobre la compacidad de funciones coseno de operadores
DOI:
https://doi.org/10.22199/S07160917.1987.0013.00003Keywords:
Funciones, Banach, Vectores, CosenoAbstract
En este trabajo caracterizamos las funciones coseno fuertemente continua de operaciones, definidas en un espacio de Banach complejo y generadas por un operador lineal A tal que A? es compacto, para algún entero n ? 1.
References
E. B. Davies, One-Parameter Semigroups. Academic Press, New York, 1980.
H. O. Fattorini, Ordinary differential equations in linear topological spaces, I. J. Diff. Eqs., 5, (1968), 72-105.
H. Henríquez, Una propiedade de compacidade para familias cosseno de operadores. Atas do 14° Coloquio Brasilero de Matemáticas, Vol . I. pág. 71-80.
H. Henríquez, Cosine operator families such that C(t) - I is compact, for all t > O. Indian J. pure and appl. Math, 16 (2), (1985), 143-152.
B. Nagy, On cosine operator functions in Banach spaces, Acta. Sci. Math Sz., 35, (1974), 281-289.
S. Nelson; B. Triggiani, Analytic Properties of cosine operators, Proc. Am, Math. Soc., 74 (1), (1979), 101-104.
A. E. Taylor, Introduction to Functional Analysis. John Wiley & Sons, New York, 1985.
C. C. Travis; G. F. Webb, Proc. International Symposium on Non-Linear Equations in Abstract Spaces. University of Texas (1977) pág. 331-361.
H. O. Fattorini, Ordinary differential equations in linear topological spaces, I. J. Diff. Eqs., 5, (1968), 72-105.
H. Henríquez, Una propiedade de compacidade para familias cosseno de operadores. Atas do 14° Coloquio Brasilero de Matemáticas, Vol . I. pág. 71-80.
H. Henríquez, Cosine operator families such that C(t) - I is compact, for all t > O. Indian J. pure and appl. Math, 16 (2), (1985), 143-152.
B. Nagy, On cosine operator functions in Banach spaces, Acta. Sci. Math Sz., 35, (1974), 281-289.
S. Nelson; B. Triggiani, Analytic Properties of cosine operators, Proc. Am, Math. Soc., 74 (1), (1979), 101-104.
A. E. Taylor, Introduction to Functional Analysis. John Wiley & Sons, New York, 1985.
C. C. Travis; G. F. Webb, Proc. International Symposium on Non-Linear Equations in Abstract Spaces. University of Texas (1977) pág. 331-361.
Published
2018-03-28
How to Cite
[1]
H. R. Henríquez Miranda, “Una nota sobre la compacidad de funciones coseno de operadores”, Proyecciones (Antofagasta, On line), vol. 6, no. 13, pp. 35-45, Mar. 2018.
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