Exponentials of Sums of Operators in a Banach Space

Michael Gil’

doi:10.36753/mathenot.421735

EN

Exponentials of Sums of Operators in a Banach Space

Abstract

Keywords

Banach space,linear operators,exponential,stability

References

[1] Bercovici, H. and Li Wing Suet, Inequalities for eigenvalues of sums in a von Neumann algebra. In Recent Advances in Operator theory and Related topics (Szeged, 1999), pp. 113-126, Oper. Theory Adv. Appl., 127, Birkhauser, Basel, 2001.
[2] Daleckii, Yu L. and Krein, M.G. Stability of Solutions of Differential Equations in Banach Space, Amer. Math. Soc., Providence, R. I. 1974.
[3] Foth, P. Eigenvalues of sums of pseudo-hermitian matrices, Electronic Journal of Linear Algebra, 20 (2010) 115-125. [4] Gil’, M.I. Operator Functions and Localization of Spectra, Lecture Notes In Mathematics vol. 1830, SpringerVerlag, Berlin, 2003.
[5] Gil’, M.I. On stability of linear Barbashin type integro-differential equations, Mathematical Problems in Engineering, vol. 2015, Article ID 962565, (2015), 5 pages.
[6] Gil’, M.I. Stability of sums of operators, Ann. Univ. Ferrara, 62, (2016) 61-70.
[7] Gil’, M.I. A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators, Operators and Matrices, 11, no. 1 (2017) , 115-123.
[8] Helmke, U. and Rosenthal, J. Eigenvalue inequalities and Schubert calculus, Math. Nachr. 171 (1995), 207-225.
[9] Horn, A. Eigenvalues of sums of Hermitian matrices, Pacific J. Math. 12 (1962), 225-241.
[10] Lidskii, B.V. Spectral polyhedron of the sum of two Hermitian matrices, Funct. Anal. Appl. 16 (1982), 139-140.
[11] Miranda, H. Diagonals and eigenvalues of sums of Hermitian matrices. Extreme cases. Proyecciones 22, no. 2, (2003) 127-134.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Michael Gil’
0000-0002-6404-9618

Publication Date

October 30, 2017

Submission Date

April 10, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 5 Number: 2

DOI

https://doi.org/10.36753/mathenot.421735

IZ

https://izlik.org/JA69RL98NZ

APA

Gil’, M. (2017). Exponentials of Sums of Operators in a Banach Space. Mathematical Sciences and Applications E-Notes, 5(2), 45-50. https://doi.org/10.36753/mathenot.421735

AMA

1.Gil’ M. Exponentials of Sums of Operators in a Banach Space. Math. Sci. Appl. E-Notes. 2017;5(2):45-50. doi:10.36753/mathenot.421735

Chicago

Gil’, Michael. 2017. “Exponentials of Sums of Operators in a Banach Space”. Mathematical Sciences and Applications E-Notes 5 (2): 45-50. https://doi.org/10.36753/mathenot.421735.

EndNote

Gil’ M (October 1, 2017) Exponentials of Sums of Operators in a Banach Space. Mathematical Sciences and Applications E-Notes 5 2 45–50.

IEEE

[1]M. Gil’, “Exponentials of Sums of Operators in a Banach Space”, Math. Sci. Appl. E-Notes, vol. 5, no. 2, pp. 45–50, Oct. 2017, doi: 10.36753/mathenot.421735.

ISNAD

Gil’, Michael. “Exponentials of Sums of Operators in a Banach Space”. Mathematical Sciences and Applications E-Notes 5/2 (October 1, 2017): 45-50. https://doi.org/10.36753/mathenot.421735.

JAMA

1.Gil’ M. Exponentials of Sums of Operators in a Banach Space. Math. Sci. Appl. E-Notes. 2017;5:45–50.

MLA

Gil’, Michael. “Exponentials of Sums of Operators in a Banach Space”. Mathematical Sciences and Applications E-Notes, vol. 5, no. 2, Oct. 2017, pp. 45-50, doi:10.36753/mathenot.421735.

Vancouver

1.Michael Gil’. Exponentials of Sums of Operators in a Banach Space. Math. Sci. Appl. E-Notes. 2017 Oct. 1;5(2):45-50. doi:10.36753/mathenot.421735