Some classes of functions of a linear closed operator

被引：0
|
作者：
L. F. Korkina
M. A. Rekant
机构：
[1] Ural Federal University,Institute of Mathematics and Computer Science
来源：
Proceedings of the Steklov Institute of Mathematics | 2012年 / 277卷
关键词：
linear closed operator; functions of an operator; multiplicative property; invertibility;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A linear closed densely defined operator and some domain Ω lying in the regular set of the operator and containing the negative real semiaxis of the real line are specified in a Banach space. We assume that power estimates for the norm of the resolvent operator are known at zero and infinity. We use the Cauchy integral formula to introduce operator functions generated by scalar functions that are analytic in a certain domain not containing the origin and containing the complement of Ω and satisfy power estimates for their absolute values at zero and infinity. We study some properties of operator functions, which were studied by the authors earlier for the case of an operator whose inverse is bounded; in particular, we study the multiplicative property.
引用
收藏
页码：121 / 135
页数：14
相关论文
共 50 条
  • [31] Closed formulas in local sensitivity analysis for some classes of linear and non-linear problems
    Castillo, E.
    Conejo, A. J.
    Castillo, C.
    Minguez, R.
    TOP, 2007, 15 (02) : 355 - 371
  • [32] Closed formulas in local sensitivity analysis for some classes of linear and non-linear problems
    E. Castillo
    A. J. Conejo
    C. Castillo
    R. Mínguez
    TOP, 2007, 15 : 355 - 371
  • [33] CLASSES OF OPERATOR MONOTONE-FUNCTIONS AND STIELTJES FUNCTIONS
    NAKAMURA, Y
    GOHBERG ANNIVERSARY COLLECTION, VOL 2: TOPICS IN ANALYSIS AND OPERATOR THEORY, 1989, 41 : 395 - 404
  • [34] Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation
    Kumar, S. Sivaprasad
    Taneja, H. C.
    Ravichandran, V.
    KYUNGPOOK MATHEMATICAL JOURNAL, 2006, 46 (01): : 97 - 109
  • [35] Differential Subordination and Differential Superordination for Classes of Admissible Multivalent Functions Associated with a Linear Operator
    Ali, Ekram E. E.
    Srivastava, Hari M. M.
    El-Ashwah, Rabha M. M.
    Albalahi, Abeer M. M.
    MATHEMATICS, 2022, 10 (24)
  • [36] ON INVERSE CLOSED CLASSES OF DIFFERENTIABLE FUNCTIONS
    SIDDIQI, JA
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 305 (01): : 9 - 12
  • [37] Closed classes of ultimately periodic functions
    Semigrodskikh A.P.
    Algebra and Logic, 2001, 40 (2) : 112 - 121
  • [38] Extended Eigenvalues of a Closed Linear Operator
    Ammar, Aymen
    Boutaf, Fatima Zohra
    Jeribi, Aref
    FILOMAT, 2022, 36 (13) : 4277 - 4291
  • [39] Some Subordinating Results for Classes of Functions Defined by Salagean Type q Derivative Operator
    Aouf, Mohamed K.
    Mostafa, Adela O.
    FILOMAT, 2020, 34 (07) : 2283 - 2292
  • [40] Some classes of p-valent analytic functions defined by certain integral operator
    Noor, KI
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) : 835 - 840
12345