Bounded H a-Calculus for Strip-Type Operators

被引:2
|
作者
Batty, Charles [1 ]
Mubeen, Junaid [2 ]
Voeroes, Imre [1 ]
机构
[1] Univ Oxford St Johns Coll, Oxford OX1 3JP, England
[2] Univ Oxford St Annes Coll, Oxford OX2 6HS, England
关键词
Functional calculus; strip-type operator; weak bounded variation; perturbation; PERTURBATION THEOREM; INFINITY; GENERATORS; SEMIGROUPS; CALCULUS; SPACES;
D O I
10.1007/s00020-011-1922-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the functional calculus for operators of strong strip type, including both a characterisation by means of weak bounded variation of the resolvent and some perturbation theory. The results are broadly similar in style to those for sectorial operators, but they are not corollaries and there are some surprising differences.
引用
收藏
页码:159 / 178
页数:20
相关论文
共 50 条
  • [1] Bounded H∞-Calculus for Strip-Type Operators
    Charles Batty
    Junaid Mubeen
    Imre Vörös
    [J]. Integral Equations and Operator Theory, 2012, 72 : 159 - 178
  • [2] Bounded H∞-calculus for cone differential operators
    Schrohe, E.
    Seiler, J.
    [J]. JOURNAL OF EVOLUTION EQUATIONS, 2018, 18 (03) : 1395 - 1425
  • [3] Factorization of sectorial operators with bounded H∞-functional calculus
    Simard, A
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 1999, 25 (02): : 351 - 370
  • [4] BIENZYME STRIP-TYPE GLUCOSE SENSOR
    MARCINKEVICIENE, J
    KULYS, J
    [J]. BIOSENSORS & BIOELECTRONICS, 1993, 8 (3-4): : 209 - 212
  • [5] A STRIP-TYPE OSCILLATOR OF COMBINATIVE FREQUENCIES
    STROGANOVA, YP
    IVANOV, YN
    TSARAPKIN, DP
    [J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 1982, 25 (10): : 93 - 94
  • [6] STRIP-TYPE RESONATOR OF LITHIUM TETRABORATE
    FUJIWARA, Y
    ONO, M
    SAKAI, M
    WAKATSUKI, N
    [J]. IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 1986, 33 (01) : 125 - 125
  • [7] Bounded H∞-calculus for differential operators on conic manifolds with boundary
    Coriasco, S.
    Schrohe, E.
    Seiler, J.
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 32 (02) : 229 - 255
  • [8] Banach space operators with a bounded H infinity functional calculus
    Cowling, M
    Doust, I
    McIntosh, A
    Yagi, A
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1996, 60 : 51 - 89
  • [9] OPTIMIZATION OF THE SPECTRAL CHARACTERISTICS OF STRIP-TYPE ARRAYS
    KHOROSHUN, VV
    [J]. TELECOMMUNICATIONS AND RADIO ENGINEERING, 1990, 45 (03) : 131 - 133
  • [10] ISOMETRIC DILATIONS AND H∞ CALCULUS FOR BOUNDED ANALYTIC SEMIGROUPS AND RITT OPERATORS
    Arhancet, Cedric
    Fackler, Stephan
    Le Merdy, Christian
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2017, 369 (10) : 6899 - 6933