논문KCI 등재
Wiener's lemma for infinite matrices of Gohberg-Baskakov-Sjostrand class
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we introduce a quasi-Banach algebra of infinite matrices, which is inverse-closed in the Banach algebra $ {\mathcal B}(\ell^2)$ of all bounded operators on $\ell^2$.
Abstract
In this paper, we introduce a quasi-Banach algebra of infinite matrices, which is inverse-closed in the Banach algebra $ {\mathcal B}(\ell^2)$ of all bounded operators on $\ell^2$.
참고문헌 (23)
- R. Balan, "Density, overcompleteness and localizations of frames I. theory; II. Gabor System", J. Fourier Anal. Appl, 12(2), pp.105~143 (2006)
- B. A. Barnes, "The spectrum of integral operators on Lebesgue spaces", J. Operator Theory, 18(1), pp.115~132 (1987)
- A. G. Baskakov, "Wiener’s theorem and asymptotic estimates for elements of inverse matrices", Funktsional. Anal. i Prilozhen, 24(3), pp.64~65 (1990)
- M. E. Gordji, "Approximation of generalized homomorphisms in quasi-Banach algebras", An. St. Univ. Ovidius Constanta, 17, pp.203~214 (2009)
- K. Grochenig, "Time-frequency analysis of Sj¨ostrand’s class", Rev. Mat. Iberoam, 22(2), pp.703~724 (2006)
- K. Grochenig, "Four Short Courses on Harmonic Analysis: Wavelets, Frames, Time-Frequency Methods, and Applications to Signal and Image Analysis", pp.175~233 (2010), Birkhauser
- K. Grochenig, "Noncommutative approximation: inverse-closed subalgebras and off-diagonal decay of matrices", Constr. Approx, 32(3), pp.429~466 (2010)
- K. Grochenig, "Wiener’s lemma for twisted convolution and Gabor frames", J. Amer. Math. Soc, 17, pp.1~18 (2003)
- K. Grochenig, "Symmetry of matrix algebras and symbolic calculus for infinite matrices", Trans. Amer. Math. Soc, 358, pp.2695~2711 (2006)
- K. Grochenig, "Pseudo-differential operators on locally compact Abelian groups and Sjostrand’s symbol class", J. Reine Angew. Math, 613, pp.121~146 (2007)
- I. Krishtal, "Wiener’s lemma: pictures at exhibition", Rev. Un. Mat. Argentina, 52(2), pp.61~79 (2011)
- K. Krishtal, "Invertibility of the Gabor frame operator on the Wiener amalgam space", J. Approx. Theory, 153(2), pp.212~224 (2008)
- V. G. Kurbatov, "Algebras of difference and integral operators", Funkt. Anal. Prilozh, 24(2), pp.87~88 (1990)
- N. Motee, "Sparsity measures for spatially decaying systems", arXiv:1402.4148v3, ~
- C. E. Shin, "Stability of localized operators", J. Funct. Anal, 256(8), pp.2417~2439 (2009)
- C. E. Shin, "Wiener’s lemma: localization and various approaches", Appl. Math. J. Chinese Univ. Ser. A, 28(4), pp.465~484 (2013)
- Q. Sun, "Wiener’s lemma for infinite matrices with polynomial off-diagonal decay", C. Acad. Sci. Paris Ser I, 340(8), pp.567~570 (2005)
- Q. Sun, "Nonuniform average sampling and reconstruction of signals with finite rate of innovation", SIAM J. Math. Anal, 38(5), pp.1389~1422 (2006)
- Q. Sun, "Wiener’s lemma for infinite matrices", Trans. Amer. Math. Soc, 359(7), pp.3099~3123 (2007)
- Q. Sun, "Wiener’s lemma for infinite matrices II", Constr. Approx, 34(2), pp.209~235 (2011)
- Q. Sun, "Frames in spaces with finite rate of innovations", Adv. Comput. Math, 28(4), pp.301~329 (2008)
- R. Tessera, "The Schur algebra is not spectral in B(ℓ2)", Monatsh. Math, 164, pp.115~118 (2010)
- N. Wiener, "Tauberian theorem", Ann. of Math, 33(1), pp.1~100 (1932)
관련 논문AI추천
Wiener's lemma for Banach algebras of infinite matrices of GBS class한혁, 신창언장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제3호SCHATTEN CLASSES OF MATRICES IN A GENERALIZED B(l2)Jitti Rakbud, Pachara Chaisuriya대한수학회 · 대한수학회지2010 · 제47권 제1호Truncated Hankel operators and their matricesBartosz Lanucha, Malgorzata Michalska대한수학회 · 대한수학회보2019 · 제56권 제1호Generalized Riesz points for perturbations of Toeplitz operators김안현대한수학회 · 대한수학회논문집2014 · 제29권 제2호Right and left Fredholm operator matricesDragan S. Djordjevic, Milica Z. Kolundzija대한수학회 · 대한수학회보2013 · 제50권 제3호SEQUENCE SPACES OF OPERATORS ON l_2Jitti Rakbud, Sing-Cheong Ong대한수학회 · 대한수학회지2011 · 제48권 제6호
이 간행물의 다른 논문 (24건)
Inequalities for the angular derivatives of certain classes of holomorphic functions in the unit discB\"{u}lent Nafi \"{O}rnekpp. 325-334Existence results for anti-periodic boundary value problems of nonlinear second-order impulsive $q_k$-difference equationsJessada Tariboon, Sotiris K. Ntouyas, Phollakrit Thiramanuspp. 335-350Entropy-based goodness of fit test for a composite hypothesisSangyeolLeepp. 351-363A note on the value distribution of $f^2(f')^n$ for $n\geq 2$Yan Jiangpp. 365-371On difference quotients of Chebyshev polynomialsJung Hee Lee, 김선홍pp. 373-386
